Suppose that f(5) = 2, f '(5) = 6, g(5) = -3, and g'(5) = 5. Find the following values. (fg)'(5) (a) (fig)'(5) (b) (g/n'(5) (c)

Q: y = In (x* + 5)³

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Q: 13. f (x) = sinx3 (2х-1)2

A: I have stated the used formulas in the solution

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

A: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

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Q: 2. If the derivative of an accurately determined function is replaced with a finite difference, how…

A: Since you have asked multiple question, we will solve first one for you. If you want other question…

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A:

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A: Given function is f(x) = x2e2x and h = 0.50

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Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Find first the derivative as shown below: f'x=ddx-5-x2        =125-x2ddx5-x2       =-125-x2-2x…

Q: 5 In this problem we will apply the second derivative test to the function f(x) = 4x + %3D

A: Given : fx=4x+5x

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Q: 2 The derivative of (g(x))¯ is equal to (g '(x))¯. Select one: True False

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Q: 2. f(x) = x2– 5x + 6 at x 2 --

A:

Q: 2) Find the derivative of the function f(x) = (x³ – tan(4x² – 2)* |

A: Given :            To find the derivative of the given function                f(x) = x3 -…

Q: What is the second derivative of f(x) 2x-3 2 x+1 10 (x+1)* 10 3 (x+1)° -10x+10 (x+1)* 10x-10 (x+1)*

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Q: Find the first derivative: y = In V2r³ – 5 O y =: 22-5 O y = 4z 22-5 O y = 62 22-5 O y =; 2z-5 O y =…

A: Here we have to find the first derivative of         y = ln(2x3-5)1/3

Q: what is he first derivative of f(x)=(5x^4-6x)  1/3

A: follow next step

Q: What is the first derivative of f(x) = ]n( 3x´+7x 5x

A:

Q: Choose the derivative of sin (x). - 1 1 1+ x2 1 x2 | 1 1+ x2 1 xVx2 1 - 1 V1- x?

A: It can easily find the derivative of function

Q: Determine the derivative of the following functions using chain rule. 3 * 1. f (x) = (2x² – 2x + 1)…

A: 1.f(x)=(2x2-2x+1)3 2. f(x)=5x3-8x2+9x-6

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Q: Compute the derivative of ln r3 –1 V2x+5x²

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Q: 3. = 2x-y х+3у

A: We will differentiate the given problem with respect to x.

Q: Find the first derivative of y = 1 using the Chain Rule. (1– x4)6

A: These questions are related to differentiation, We will solve them using given information.

Q: What is the derivative of the function r (x) 5 (9x²-2) (5x+7) (3x³-2x+2) 9x²-2 5 5x+7 3x³-2x+2 5…

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Q: Find the derivative of xn by first principle or ab-initio method.

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Q: Find 1st and 2nd derivative of:   f(x)=(5x^4 + 3x^2)*ln(x^2)

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Q: Derive a formula that approximates the second derivative of the function sampled at x = 0, 0.01,…

A: Let us assume that second derivative function  f"x0=Afx0+Bfx0-h+Cfx0+2h can be rewritten as…

Q: 1. Y= 3x -x- 2

A: Find your answer below

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Q: Solve for the derivative of the function using chain rule. 8. f(x)= sin (2x)cos (3x)

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Q: Find the derivative using the long method 3-t to

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Q: 9) Find the value of the derivative at the point (2,-18) ƒ(x) = -3xV2x + 5

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Q: ,2, (x²–1)* Dx (1+8x)5

A: To Determine: find the derivative using chain rule  Given: we have y=x2-141+8x5 Explanation: we have…

Q: 10. Find the first derivative: f(x) = (x³ + 2x) In x %3D

A:

Q: Find the derivative of the following using General Rule. 7) y = vt3 8) f(x) = 6 + 5 1 9) y =-+ 2 x3…

A: We have to find derivative of Given function.

Q: Find the derivative of f ( x ) = 6 sin ^2 ⁡( x ) + 6 cos^2 ⁡( x ) at x = -6.5

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Q: By using first principle, show that the derivative of f(x)=- is x+1 1 S'(x) = (x+1)

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Q: Consider the function f(x) = x³ Q 2: Calculate its first derivative at point x = 3 numerically with…

A: We have given , f(x) = x3

Q: Suppose we are asked to compute the 100th derivative of x 3 . How can we obtain the answer in a fast…

A: Solve the following

Q: 2 12. f (x) = (1tsinx) Cosx

A:

Q: 3) Determine the second derivative of y = 5x* + 4x -+÷-3 2x2

A: