Derivative of tan^2 x

Answers

Answer 1

Answer:

[tex]2sec^2xtanx[/tex]

Step-by-step explanation:

[tex]\frac{d}{dx} tan^2x[/tex]

[tex]\frac{d}{dx} tanxtanx[/tex]

[tex](\frac{d}{dx}tanx)(tanx)+(tanx)(\frac{d}{dx}tanx)[/tex]

[tex]\frac{d}{dx}tanx=\frac{d}{dx}\frac{sinx}{cosx}=\frac{(cosx)(cosx)-(sinx)(-sinx)}{(cosx)^2}=\frac{cos^2x+sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x[/tex]

[tex](sec^2x)(tanx)+(tanx)(sec^2x)[/tex]

[tex]2sec^2xtanx[/tex]

Helpful tips:

Product Rule: [tex]\frac{d}{dx}f(x)g(x)=f'(x)g(x)+f(x)g'(x)=\frac{d}{dx}f(x)*g(x)+f(x)*\frac{d}{dx}g(x)[/tex]

Quotient Rule: [tex]\frac{d}{dx}\frac{f(x)}{g(x)}=\frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}=\frac{g(x)\frac{d}{dx}f(x)-f(x)\frac{d}{dx}g(x)}{(g(x))^2}[/tex]

Pythagorean Identity: [tex]cos^2x+sin^2x=1[/tex]


Related Questions

HELP ASAP! QUICK ALGEBRA 20 POINTS!!!!!!! WILL AWARD BRAINLIEST

Answers

Answer:

On the first image: if 45 divides the number, it means you can rewrite it as 45 times something. Let's play with powers of 9 to see if you can make a 45 or rewrite it as a product of a power of 9 and a power of 5.

On the second and third images, it's just a matter of collecting common factors. I collected the minus sign so the parenthesis starts with a positive term, but it's a matter of personal preference.

Estimate 196.999 ÷ 1.582?

Answers

Answer:

124.5252844501

Step-by-step explanation:

to estimate we have 125

(64/8/ 4 + 7 – 2) • 5 =

Answers

Answer:

35

Step-by-step explanation:

Let me know if I got it right

A=1/2h(b1+b2) is the formula for the area of a trapezoid. Rewrite the formula for h, and then find the height of the trapezoid that has an area of 78 square inches and base lengths of 5 inches and 8 inches.

Answers

Answer:

Let's neaten up that equation a bit:

trapezoid area = height * (sum of the bases) / 2

height = 2 * area / (short base + long base)

height = 2 * 78 / (5 + 8)

height = 156 / 13

height = 12 inches

Source: https://www.1728.org/quadtrap.htm

Step-by-step explanation:

The formula for the height is h = (b1+b2)/2A and the height of the trapezoid is 12 inches

What is area of a trapezoid?

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

The area of a trapezoid is expressed as;

A = 1/2( a +b) h

where a and b are the parallel sides and h is the height.

Making h the subject

(a+b)h = 2A

h = 2A/( a+b)

h = 2A( b1 + b2)

A = 78 in²

a = 5 in

b = 8 in

h = 2 × 78/( 8+5)

h = 156/13

h = 12 in

learn more about area of trapezoid from

https://brainly.com/question/1410008

#SPJ3

Solve for the value of X

Answers

Check the picture below.

I believe that the answer is 10.
X=10

When a retired police officer passes away, he leaves $325,000 to be divided among his five children and three grandchildren. The will specifies that each child is to get twice as much as each grandchild. How much does each get?

Answers

grandchildren get 25,000 and child gets
50.000

I need help finding the value of z!

Answers

Answer:

thus

Step-by-step explanation:

Korelasi Rank Spearman digunakan untuk mencari hubungan atau untuk menguji signifikansi hipotesis asosiatif bila masing-masing variabel yang dihubungkan berbentuk Ordinal.

If a number has 8 as a factor, then both 2 and 4 are factors

Answers

yes that is correct

PLEASE HELP MEEE!!!!
5. Jared visited his family doctor after suffering for days with a rash that appeared on his ankles and calves as soon as he arrived home from camp. Jared's doctor asked him several questions about his activities during the past week, including the places he'd been and the kind of clothing he wore. Then the doctor announced that Jared had a nasty case of polson Ivy.

What kind of reasoning did Jared's physician use to make a diagnosis? Explain how you you were able to tell what kind of reasoning was used.

Answers

Answer:

I would say Inductive reasoning.

Step-by-step explanation:

Inductive reasoning is defined as "A method of reasoning in which a body of observations is synthesized to come up with a general principle." and this is exactly what the doctor did to come up with his diagnosis.

Hope this helps you out a bit.

Answer:

Deductive reasoning

Step-by-step explanation:

Deductive reasoning, he was given some simple information and any person could simply assume he had poison ivy, as it was made clear he had most likely been around it. And deductive reasoning is basically reasoning based off a few questions from which you can draw a conclusion from.

−4x−2 + 3y0 if x = 2 and y = 5

Answers

Hey there!

-4x^-2 + 3y^0

= -4(2)^-2 + 3(5)^0

= -4(1/4) + 3(5)^0

= -1 + 3(5^0)

= -1 + 3(1)

= -1 + 3

= 2

Therefore, the answer should be: 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Juana is making a triangular hat for a puppet. If two of the three angles of the hat both measure 30°
, what is the measure of the third angle?

Enter the correct answer in the box.

Answers

30+30=60 180-60=120

So the answer is 120

If an eight-pound bag of rice cost $9.60, what is the cost of 1 pound of rice?

Answers

Answer:

$1.20 for one pound of rice

Step-by-step explanation:

$9.60 ÷ 8 = $1.20

I hope this helps!

PLS ANSWER 30 POINTSSS

Answers

Answer:

letter B po

Step-by-step explanation:

basta letter B may ganyan din kame eh

-3, 9, -27, 81 find the next term

Answers

Answer: The next term is -243.

Answer:

-243

Step-by-step explanation:

The common ratio in this geometric sequence is -3. Therefore, the next term will be 81(-3) = -243.

Consider the following function. f(x)= 4x+7 Place the steps for finding f -1(x) in the correct order.

Answers

Answer:

To find an inverse, you need to replace f(x) with y. Then switch the x and y's in your equation and solve for y.  This will find f^-1(x).

Step-by-step explanation:

given the function below, which of the following values will result in f(x)=10

f(x)=1/2x+8​

Answers

Answer: x=4

Step-by-step explanation:

1/2x+8=10

Subtract 8 from 10

Multiply 2 to 2

x=4

Step-by-step explanation:

1/2(10)+8=

1/20+8=

161/20=

8.05

How much larger is 8 x 10^8 compared to 2 x 10^5?
О 4 times larger
O 40 times larger
O 400 times larger
O 4,000 times larger

Answers

8 x 10^8 is 4,000 larger than 2 x 10^5
the answer is D,
8x10^8 = 800000000
2x10^5= 200000
so it’s 4,000 times larger

9 + 6 + 5+ 15
Is that

Answers

9+6= 15
15+5=20
20+15=35
35 is the answer.

The sum lf two numbers is 10. The difference between the two numbers is 4: what is the smaller numerical?

Answers

Answer:

3

Step-by-step explanation:

The two numbers are 3 and 7, and 3 is the smaller one

Step-by-step explanation:

x, y are the 2 numbers.

x + y = 10

y - x = 4

that gives us

y = x + 4

and we use that in the first equation :

x + x + 4 = 10

2x = 6

x = 3

y = x + 4 = 3 + 4 = 7

so, yes, the smaller number is 3.

A student has a savings account with $475 in it.
She deposits $125 of her paycheck into the account
every week. Her goal is to save $7,000 for college.
How long will it be before she has $1350?

Answers

Answer: 7 weeks

Step-by-step explanation:

Let x represent number of weeks

Let y represent the total amount

Amount = Paycheck deposited * number of weeks + Initial amount

y = 125x + 475

Number of weeks until she has $1350

1350 = 125x + 475

125x+475-475=1350-475

125x=875

x=7

Therefore, the student will have $1350 in her bank account after 7 weeks

Answer 7 Weeks
I Hope This Helps

What is the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) with a straightedge and a compass?

Answers

The next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

To construct angle MNO congruent to the given angle ABC, the following conditions must be satisfied:

The two angles must be equal (∠ABC = ∠MNO).The radius of the two triangles must be equal.The radius from center N must be equal to radius BA and BC.The radius of angle MNO is NO and it must equal BA and BC

Thus, we can conclude that, the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

Learn more about construction of congruent angles here: https://brainly.com/question/20097419

equations 50 - 3x = 110

Answers

Answer:

x = -20

Step-by-step explanation:

50 - 3x = 110

=> -3x = 110 - 50

=> -3x = 60

=> x = -20

Hoped this helped.

Step-by-step explanation:

50 - 3x = 110

3x = 110 - 50

3x = -60

x = -20

Find the unit price for a 9 oz bottle of ketchup for 88cents. round answers to the nearest tenth of a cent. ________ cents per ounce

Answers

Answer:

0.1 cents per ounce

Step-by-step explanation:

You know that you paid 88 cents for the whole bottle of ketchup and the whole body contains 9oz of ketchup. Every one ounce is equal to 9.8 cents. You simply need to divide the total amount of the item by the weight (9 ounces) to get 0.09 or 0.1 when rounded.

[tex]\frac{88 cents}{9oz}=0.1 cents per ounce[/tex]

Solve for X : 3/8 = 27/x

Answers

Answer:

x = 72

Step-by-step explanation:

3/8=27/x

cross multiply

3*x=3x   27*8=216

divide

216/3=x

x=72

Can someone help me please

Answers

Answer: 56 times

Pls mark brainleist i really need it

Graph the function g(x) = 2x2 + 8x - 1

Answers

Answer:

(-2,-9)

(0,-1)

Step-by-step explanation:

I solved in desmos.

Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?

−15x+3≤7


−20, −10, 0, 10, and 20 only

0, 10, and 20 only

−30, −20, and −10 only

−30 and −20 only

Answers

Answer:

0, 10, and 20 only

Step-by-step explanation:

    −15x + 3 ≤ 7

−15x + 3 - 3 ≤ 7 - 3

          −15x ≤ 4

  −15x / -15 ≥ 4 /- 15   multiplying by a negative number reverses the sign.

               x ≥ -4 / 15

probably quicker to just plug the numbers in. Any negative input will immediately create a false statement.

If the probability that a randomly chosen college student uses a ride sharing app is 0.27, then what is the probability that a randomly chosen college student does not use a ride sharing app?

Give your answer as a decimal.

Answers

Answer:

0.73

Took the quiz

The probability that a randomly chosen college student does not use a ride sharing app is 0.73.

What is the probability?

Probability is a stastistical measure that is used to determine who likely it is that event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a randomly chosen college student does not use a ride sharing app = 1 - 0.27 = 0.73

To learn more about probability, please check: https://brainly.com/question/13234031

A fair coin is tossed (heads or tails) 9 times. What is the probability that the coin will land “heads” exactly 3 out of the 9 times?

Answers

Answer:

Step-by-step explanation:

The total number of tosses is 9

The number of successes is 3

P(heads 3 times ) = 3/9

P(heads 3 times) = 1/3

Given the equation y=|x| complete the table of values

Answers

Answer:

2,1,0,1,2

Step-by-step explanation:

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