f(x) =x2/3; a = 125

Q: Find the second derivative of f(x)=(3x2+7)2 and simplify

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Q: (3x – 4)8 Find the derivative of 9(x) = (4x² + 3)

A: Quotient rule of differentiation:

Q: Find the second derivative of the function.

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Q: What is the derivative of 2.x + 3 f (x) = 2x2 + 7x + 6

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Q: Find the second derivative of  x2y-4x=5

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Q: f(x) = 7x + 10 g(z) = + 2

A: Given query is to find indicated function value.

Q: f (x) = 3 · 5" + e 4x²+7¤

A: We have to find derivative

Q: The first derivative of f(×)=(5x4 - 6x)1/3

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Q: Find the derivative: n[(x³ + 2) (x² + 3)].

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Q: Find the second derivative of the function. f (x) = 5(2 – 7x)*

A: Find the second derivative of the function

Q: Find the second derivative of the function. f(x)= (3x³+6)* %D

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Q: Find the second derivative of the function.

A: Given function is  fx=4x32 The derivative used here is  dxndx=nxn-1 The derivative of the first…

Q: Solve for x x'(t)=x-t

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Q: Find the higher-order derivative. f"(x) = 16x³ – ? 34x f'"'(x) = %D

A: To find the third order derivative , we need to differentiate the gives function with respect to x.

Q: 3x² (9 – x² ) 2 2 (9 — 3х2)

A:

Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives

Q: Solve for f R=X+fa

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Q: -7 -5 | g(x) dx = -5 and | g(x) dx = 8,

A: Given,                      ∫2-7g(x)dx=-5   and   ∫25g(x)dx=8then         ∫-75g(x)dx=?

Q: Find the derivative:   f(x) = (4x3-7x+9)5

A: Given:  fx=4x3-7x+95 To Find: The derivative of the given function

Q: Find the domain of f

A: We have to find the domain of the function: fx=x-2x-6 We know that for any square root function y=fx…

Q: Find the derivative. a) (x-3)(x+2)(x^3) b) 9x^2(10x+4)

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Q: Find the second derivative. 14) y = 4x² + 12x + 4x-3

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Q: Find the first derivative of: y= x5 3√9-3x2

A: y=x5 9-3x23⇒y=x59-3x213

Q: If f(x)=(4x)^(ln x) how would you find f'(3)?

A: Obtain the derivative of the function as follows.

Q: Solve f(-4) for f(x) = -4x +9 f(-4) = [ ? ]

A: Given: f(x)=-4x+9

Q: Find the second derivative  3x2/3/ 6x+ 9

A: Let the given function be y - y = 3x236x+9y = 12x23-1+9y = 12x-13+9Differentiating with respect to…

Q: Is function  y=x2 a solution for equation of (1-x3)y'-2x+x2y+y2=0? If it is, find the solution.

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Q: 3.) y = e2x-3 3.) у 3

A: The derivative of some general functions are, ddx(ef(x))=ef(x).ddx(f(x)) Product rule of derivative…

Q: Computate the derivative Y= 9X V1-9x

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Q: Find the derivative of the function. F(x) = (x4 + 5x2 – 9)6

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Q: -y = a(10z² –8z+7)

A: Using composite derivative formula.

Q: What is the derivative of f (x) = 6x¯² + 8x³ + 11x + 10 + e"?

A: Given that: f(x)=6x-2+8x3+11x+10+ex

Q: Solve f(-4) for f(x) = -4x+ 9 f(-4) = [ ? ]

A: f(x)=-4x+9

Q: Find the derivative. y = e2= . 8x3 24x?e2 + 16x4e2« – 1 O 2e2a . 24x? 24x e2 + 16x³e2* O 2xe2a…

A: We will find the derivative using Chain rule.

Q: The derivative of 4.x5 is f(x) f(x) = Зх-2

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Q: Find the derivative of f (x) = ( a ° – 5æ) (2² + 6x - 6).

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Q: Find the derivative. y = x² + 8x +5

A: Differentiate wrt x

Q: Find the derivative of the function. f(x) = x2 + 5 − 3x−2

A: Known fact: ddxxn=nxn-1ddxf±g=dfdx±dgdxddxk=0   where k is constant

Q: Find the second derivative of: f(x) = 2x2 - 8x + 9 a. -8 b. 4 c. 9 O d. 0

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Q: Find the Derivative of the Function: 2x2 3 | f (x) 5x? 6

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Q: Solve! 3+ /3x =f(x) where f(x) : = 12 X=27

A: 3+3x=f(x)where f(x)=12

Q: 10) f(x) = V3x – 1

A: Explanation of the solution is given below..

Q: Use the definition of the derivative to solve.

A: To determine the derivative of the function.

Q: Find the second derivative of f(x) = 3e³* – 8e** -6.x 10)

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Q: Find the second derivative of the function f(x) = 5(2 − 7x)4

A: Find the first derivative as shown below: f'x=ddx52-7x4        =42-7x3ddx2-7x        =5· 42-7x3-7…