Suppose that f(5) = 1, f'(5)= 2, g(5) = -7, and g(5) = 6. Find the following values. (a) (fg)'(5) (b) (/g)'(5) (c) (g/)'(5)

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A: We will use the following : ddxxn = nxn-1 ddxc = 0 where c is constant.

Q: Find second derivative of f(x) =6x^2+7x+1

A: We have to find second derivative of  f(x) = 6x2+7x+1 Then , f'(x) = 12x + 7

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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Q: 2. FIND THE DERIVATIVE BY THE LIMIT PROCESS OF f(x)=x³-8x+9.

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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: 4) Find the derivative of f(x) = (5x² - 3)² in two different ways.

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Q: Find the derivative of the function using Chain Rule. (2x-6)-¹ (x²+3) h(x)=

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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

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Q: 3) Find the derivative f(x) = xe-*In(x³) %3D

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Q: Find the derivative of the function. (x) - In(4 - x") f'(x) -

A: Find the derivative of the function.      fx=ln4-x8

Q: Find the derivative Of U-5

A: Derivative of integration

Q: Example 4:- By using the four steps rule, find the derivative of the function f(x) = Vx + 2

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Q: Find the derivative of f(x) = V9x8 + 9x (72z + 9)-1/2 (92 + 9x) 1/2(72x + 9) O (928 + 9x)-1/2 -(928…

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Q: What is the second derivative of f(x)=x^2lnx

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Q: 3. Find the derivative of f(x) = x2020 – 2019.x" – 7x3 – 9x + en".

A: To Determine: Find the derivative of f(x)

Q: .3 Find the derivative of h(x) =In x³ + 2 x5 – et -

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Q: Compute the derivative of: f(x) = 4/x+1/(5x^3+2x)

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Q: If f(x) = x³ + find f"(-1).

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find the first and second derivative if w = 3z-2-(1/z)

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Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: 3 Determine the 3rd derivative of the function f(x) = 2√√x-x³

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Q: Compute for the derivative of the function f(x)= Arctan (csc2 (3x2/3))

A: Some derivative formulas: ddxtan-1x=11+x2 ddxcscx=-cotx cscx Chain rule of derivative:…

Q: Find the derivative of the ff. 3. f(x)= +an (x²- 2x) 8.h(x) = (4) -* -x2

A: Using chain rule.

Q: Find the derivative off (x) = 9x - 5 at x = 2 and x = 5.

A: Given f (x) = 9x - 5

Q: What is the second derivative of f(x)=−x4? at the point x=−3 Do not include "f′′(x)=" in your…

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Q: second

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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: Find the derivative. 4 20) f(x) = 4 2 ,find f'(x) + 4 10 2 B) - x3/2 x2 x4 4 10 A) x1/2 x2 x6 4 10 4…

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Q: 10) Find the second derivative of f(x) = 3e³x − 8e-6x 5x

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Q: 5. f(x) = [(x + 5)5 – 1]4

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Q: Find the derivative of f(x) = 4Vx + +4. O 4 + In(x) 4 x3 O 2 2 .2 O 2-4 O 2/x 4x-2 | 2

A: Given function is fx=4x+2x. We have to find the derivative of fx=4x+2x. Differentiate fx=4x+2x with…

Q: Find the derivative of f(x) = e2" (3z² – 2)

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Q: If the average rate of change of q (x) in the period (5,7) is equal to 8 and y (5)*y (7) = 16 and f…

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Q: Find the derivative. ex - (א)h 7+א7 eX-1(7x2 - 14x + 7) (7x2 + 7,2 2-14+7א7 ex. (7x2 + 7,2 eX(7x2 -…

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Q: Find the first derivative given that f(x) 5x V2r+3

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Q: 2) Find the derivative of the function f(x) = 3x² by definition

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Q: 7. If h(x)=|2x- 3, what is the value of the derivative at x = -2?

A: According to the problem we have

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A: Solve the following

Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

A: Given that, y=f(x) Second Derivative is y'' = x2(x - 2)3(x + 3). As we know that, Inflection point…

Q: Find the 2nd derivative of f(x) = √2x-x²

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