Differentiate the following functions with respect to x; (a). f(x) = 7x5 + 2loge x – 8e2x + 20x – 5 (b). g(x) = (18x4 – ex)(2 – 3x7)   (c). h(x) = (In x+6x^(-4)-10)/(9x^3-15x)

Q: The first derivative of f(x) = (5x – 6x)-3 will be.

A: Solution of first derivative

Q: The first derivative of (f(x)- (5x^4-6x)^-3 will be

A: We have to find the first derivative of the given function

Q: Find all relative extrema of the function f(x) = x4 - 4x2 + 2 by using the Second Derivative.

A:

Q: Find the derivative of f (x) = x3 - 10x2 + 8 .

A: Given : fx = x3-10x2+8

Q: Find the derivative. y = 5x 4 - 5x 3 7 O 4x3 + 3x2 O 20x3 - 15x2 - 7 O 4x3 + 3x2 - 7 O 20x3- 15x2

A: Given,  y = 5x4 -5x3-7  We have to find the derivative of  y = 5x4 -5x3-7

Q: evaluate the derivative of 3x^2+y^2x=9

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

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Q: What is the first derivative of 2x^2 + 3x + 5

A: find differentiation:-

Q: Find the derivative of f (x) = V3x² In(3x²). 2/3x2 A 3x In(3x²) + V3x2 2 + 3x In(3x²) В

A: Given thatfx=3x2ln3x2To find : derivative of…

Q: Match the function from the left side to its derivative. 1. x16 -4x-5 3 a. 2. 15 b. 3. ** 15x4 с.

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Q: . Find the derivative of f (x) = (2x – 6(3x²+8). A. 30x4-54x2+32x %3D

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Q: Find invers of function f(x)=1/2x+1

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Q: Find the derivative of: (4ln(x)+4)/(x1/2)

A: Derivative question

Q: Find the derivative of f (x) = (5 – 3x)2. %3D

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Q: The fourth derivative for * 3 points y = x3 - 3x2 + 2 are 6x-6

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Q: Find the derivative of the funchion f(x)=9x-5

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Q: Find the derivative. f(x) = 20x1/2 - 1x20 %3D O 10x1/2 - 10x10 10x-1/2 - 10x19 10x-1/2- 10x10 O…

A: Given that  fx=20x12-12x20 The derivative property used here is ddxfx-gx=ddxfx-ddxgx and…

Q: Calculate the derivative   f(x)=√(4+3x^2) / √(x^2+1)

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Q: Find the derivatives of the functions in Exercis y = (2x - 5)-1(x2 - 5x)6

A: Given function - y = 2x-5-1x2-5x6y = x2-5x62x-5               ........(1)  Identity to be used -…

Q: Find the derivative of f (x) = 4x-10x2+ 8x-2

A: To solve the following problem

Q: find the derivative of x+1/7x^2+8x+7

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Q: Find the derivative of f(x) = ✔ (6x¹ + x² − 1) 5.

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Q: Find the derivative of f (x) = (x – 4) / 10x³ + 1. -

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

A: We have to find the derivative of the function

Q: f(x) = 2x²-4x x²+1

A: Given :fx=2x2-4xx2+1

Q: Find the derivative of f(x) = -2x Or) - 6x2 Of (x) = -6 x2 Of (x) = -6 x3 %D Or-6x* f (x) = 6 x4 %3D

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Q: second

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Q: FInd the derivative of  y=(3x-2)2(5-x5)4

A: Assume u=(3x-2)2 and v=(5-x5)4 Differentiate the function u with respect to x. Assume p=3x-2…

Q: b. f(x) = 4/x(2x° -4x° %3D

A:

Q: 1. Determine the derivative of: f (x) = 4x3 – x² + 5x + 9 %3D -

A: We need to find the derivative of the given function.

Q: Ax) = (5 – 3x²)"V6x² - 6x = 8x – 12

A: Given: fx=5-3x276x2+8x-12 To Find: The derivative of the given function

Q: Find the derivative of the function. f(x) = (3x3 + 4x)(x − 7)(x + 1)

A: We have to find the derivative of f(x)=(3x^3+4x)(x-7)(x+1) Note: d/dx (x^n)= nx^(n-1)

Q: 2. Use the definition of the derivative to find f'(7) if f(x) = 4 + 3x – 2x.

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Q: Find the derivative of f (x) = – 5x 5z) (-² + 6x – 6 ) . -

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Q: Find the derivative of the function using chain rule. f(x) = (4x5 – 2x*)10

A: We differentiate the given function by using chain rule, see attached file for a step by step…

Q: Find the derivative off(x) = 5(7x3−2x+ 1)−3.

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Q: Use the 2nd derivative to find the inflection point for f(x) = x³ – 6x² – 4x + 3

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