Find the second derivative of the function. 8. f(x) = 4x3/2 9. g(x) = x-1 10. h(x) = sinx

Q: Find the second derivative of the function. f(x) = e−3x + e4x

A: Given below the detailed solution

Q: Can you help me step by step?

A: The given function is,

Q: 3. Find the first and second derivatives of the function f (x) = e¬²

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Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

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Q: 9. [Essay] Find the derivative of y = 3x + 1). За* (x? — Зх + 1). Зах

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Q: 4. Determine the derivative of the function with respect to x. 8sin?(x² + 2) y = 4tan²(x² + 2)

A:

Q: 1. Determine the first derivative of the functions below with the rules for deriving the function:…

A: A Given function is y=4x3+32. Use formula ddxxn=nxn−1 Differentiate  y=4x3+32 by using the chain…

Q: Find the derivative of the function. (x) = e+2 + 3 f'(x) : II

A:

Q: 34 - What is the value of the first derivative of the function at x = 2? A) 2 B) 1 C) -2/3…

A: Given y=ln[(x+1)/(x-1)] To find the first derivative at x=2

Q: Q4 / Find the value of derivative below * If y = x/1 - x² + Cos-1(x) then y'at | x = is

A: Given,y=x1-x2+cos-1(x) dydx=dx1-x2+cos-1(x)dx=dx1-x2dx+d(cos-1(x))dx

Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: (a) f(x) = 2x7 – 3x4 – 41x? – 73 (b) f(x) = x cos x

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Q: 3r²+7x What is the first derivative of f(x) = ln|

A:

Q: Find the derivative of the function f(x) = ln(e" + 5).

A: We have to find the derivative of the function -          f(x)=ln(ex+5) Here , we will use the…

Q: 10 Зх — 1 Find the derivative of the function F(x) = 2 – 3x Answer

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Q: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

A:

Q: Z=(ln4)4^x find the derivative of the function.

A: Form the given function:

Q: H(x)= x^5 arctan 5x find the derivative of the function

A: The given function is,

Q: Find the second derivative of the function. f(x) = (3 + 2x)e−3x

A: Given:The given function is f(x)=(3+2x)e-3xTo find:The second derivative of function f(x)

Q: Find the derivative of the function. y = e-9/x

A:

Q: 4. Find the second derivative for the following functions: a) (ans.:6x +

A: Derivatives

Q: 6. Find the second derivative, f"(x). (6) = f(x)

A: To find  The second derivative of f(x).

Q: Find the equation of the line tangent to the graph of f(x) = (In x)? at x= 8.

A: f(x)= (lnx)2

Q: Q. / Find the derivative of y = (In(x²))'n(x²).

A:

Q: How to solve the derivative of this

A:

Q: Find the derivative of the function. h(s) = -2/7s2 + 9 h'(s) Need lel

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Q: 4) Find the third derivative of g(x) = e*.

A: We will solve the problem

Q: 9. Find the derivative of y = xe3-x (A)e3-x? (B) 0 (C) e³-x*(1– 2x?) (D)–2xe³-x² (E) e3-x*(1+ 2x²)

A: Given : y = xe3-x2

Q: (12) Find the derivative of the function Y = cos (a³ + x³)

A:

Q: 1 6. Find the derivative of f(x)= 1 at the point 8, Vx+1

A: Given

Q: 7–46 Find the derivative of the function. 8. F(x) = (1 + x + x²)9

A:

Q: A. Find the derivative of the given function at a given number 1. y =3x -2 at f(1)

A:

Q: 1 Find the derivative of g(x) = Vx-1 Find f'(x) and f"(x) of f(x) = 11x³.

A: Here we have to find the derivatives of the given function.

Q: 4) Find the derivative of each function. a. f (x) = In(x² – 4) In e c. f (x) = b. f (x) = x² ln x

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Q: C) Find the derivative of y= (1+ x²)* D) Find the derivative of f(x) = log3 5x? + 1

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Q: 8) f(x)= T+x²

A:

Q: 3. Find the second derivative of f (x) = e²/*° and fully simplify your answer.

A: fx=e2x3

Q: 3. Find all possible functions with the given derivative y' =- 2

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Q: What is the first derivative with respect to x of the function g(x) = 3/9x O 1/2 9.

A:

Q: II. Determine the derivative of the ff. logarithmic functions 4. y = 8 log 6 7x² 5. y = - 5 log 7…

A: Use the chain rule of differentiation to derivate y. Chain rule is used which is as follows- (i)…

Q: Find the 3rd derivative of the function y=f(x) given by the equation x2−y2=9. Solution.

A:

Q: Find the second derivative. h(x) = x2 −  1 x2  h''(x) =

A: Given h(x) = (x^2-1)/x^2 Differentiating on both sides with respect to x h'(x) = d/dx(1-x^(-2)) =…

Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also…

Q: 8. Find f '(2) if f(x) = [g(x)]*, and g(x) = x + 2

A: g(x) = x+2  f(x) = [g(x)]4  f(x) = (x+2)4

Q: 100 1 The derivative of the function is equal ecos x to

A:

Q: 2 We want to find the derivative of h(x) x2 4 + 6Vx. The first step is to rewrite each term of the -…

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Q: III. Find the indicated derivative of the following. 1. x? -4y? =5 , y"

A:

Q: (x² + 4)(x – 2)² Vx +7 g(x) = In %3D Find the derivative of this function, g'(x).

A:

Q: Find the second derivative of the function. f(x) = e−4x + e2x

A: Given query is to find the second derivative fi the expression.

Q: y=x4Inx

A: Topic = Derivative