f(x)=4x-x2. Simplify f(a+h)-f(a)/h

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

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Q: Find the second derivative of the function. f(x) = (3x5 + 6)6

A: topic - double derivative

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

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Q: find the derivative  f(x)= (2x-3)6(3x+4)

A: Given function is f(x)=(2x–3)^6(3x+4). Formulas used:

Q: How do you find the 17th derivative of f(x)=2x^15-13x?

A: We can find the 17th derivative as below.

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

A: The given function is fx=52-7x4. Find the second derivative of the given function. Here we use the…

Q: Find (f^-1)'(a).  f(x)=4x^3+3x^2+8x+9,    a=9 (f^-1)'(a)=

A: Topic:- function and derivatives

Q: f (x) = 3 · 5" + e 4x²+7¤

A: We have to find derivative

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: For f(x) = (2a* + 3x)(5x*), find the derivative of f(x). 80x7+ 60x3 20x7-30a3 O 10z8 + 15x4 O…

A: We will use concept of differentiation to solve this.

Q: S-1x+31, f(x) = 3 10

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Q: 3x² (9 – x² ) 2 2 (9 — 3х2)

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Q: Find the derivative of the function. r (x) = 3x 20.6 8. -8 - 6. 6x1.6 2]

A: The derivative of a polynomial function with degree n:

Q: Differentiate the function. f(x) (9x2 15x)e* = f'(x)

A: First simplify the given function as follows.

Q: Find f'(x) using the rules for finding derivatives 4x2 - 5x + 2 f(x) = 3x +7

A: We have to find

Q: Find the derivative. f(x) = 4/6x +7 f'(x) = %3D

A: As we know thatddxxm=ddxxm2=m2xm2-1

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: If f(x) = 2x^2 - 10x - 33 , what would the derivative f’(x) be?

A: Given : fx = 2x2-10x-33

Q: calculate the derivative. f (x) = 4x5/3 − 3x−2 − 12

A: To find the derivative of: f(x)=4x53-3x-2-12 Solution: f(x)=4x53-3x-2-12 Differentiating both sides…

Q: Find the derivative of f(x)= 5x2 (4+5e")?

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

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Q: Find the derivative of f(x) = (3x − 2x2)3

A: Given function: f(x)=3x-2x23

Q: Find the derivative. 2 f(x) = 4√√8x² +9 f'(x) =

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Q: 8. y = (3x² + 7)²

A: y=(3x2+7)2

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

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Q: Find the second derivative of the function. f(x)= [3x3+7]7

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Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: Find the second derivative of the function. f(x) = 15x5/2

A: Consider the following formula: ddxxn=nxn-1 Consider the following function: fx=15x52 Differentiate…

Q: Find f'(x) using the rules for finding derivatives 4x2 - 7x +6 f(x) = 2x + 1

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Q: Calculate the derivative. f (x) = 4x5/3 − 3x −2 − 12

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Q: (2x³ – 5)(3x² +1) f(x)= x +7

A: Derivative problem.....

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

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

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

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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: F. V2X²-4x-7 dx X-X

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

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Q: Find the derivative of the function. f(x)=6x2(9-8x)4

A: Use the product rule of differentiation: fx=ux.vxf'x=u'x.vx+ux.v'x

Q: The derivative of f(x) = x4 + 4e2x is-

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Q: f. √₁²√x (x − 2x² + 1) dx -

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Q: 3x2 – x +1 - Find the derivative f'(x) by hand when f(x) %3D 2x + 7

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

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Q: gtx) 6x - 7; h(x) 1.7* Find the derivative of f(x) g(x) h(x).

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Q: For what value of x does f(x)=7^x first exceed (x)=42x+12?

A: Answer is written below

Q: Differentiate. f(x) = (7x² – 2x)e* f'(x) =

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Q: Find the interval where the function, f(x) = + - 8x is 4 decreasing?

A: Consider the given function.

Q: Find the second derivative of the function. f(x) = 7x3/2 f "(x) =

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