Use the product rule to find the derivative. Simplify your answer as much as possible. f (x) = (x5 + 4x)·(2x³ – x²)

Q: Use the product rule to find the derivative of the following. y = (4x2 + 5) (3x - 2)

A: We have given function y=4x2+53x-2

Q: In the given equation as follows , use the Product Rule or the Quotient Rule to find the derivative…

A: the given function is: we have to use the Product Rule or the Quotient Rule to find the derivative…

Q: Use the General Power Rule to find the derivative of the function. 4 g(x) (5x² + 3x)7

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the function.

A: Given, fx=2x+7x2+4

Q: Find the derivative of the function.g(x) =3x6+2x4+ 93x

A: we will find derivative of f(x)we will use power rule

Q: Use the product rule to find the derivative. y (5x +3)(3x-4)

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the function.

A: ddx3x-42x3+5x=ddx3x-4·2x3+5x+3x-4·ddx2x3+5x=3·2x3+5x+3x-4·6x2+5

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Find the derivative of the function y=2x1−x2.

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Q: Use the definition of the derivative to find the derivative of g(x) = x3 – 2x² + x – 1. %3D

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: Use the definition of the derivative to find the derivative of f(x)=6x2+7x+1.

A: Definition of the derivative: df(x)dx=limh→0f(x+h)-f(x)h and df(x)dx=f'(x)   Given: f(x)=6x2+7x+1…

Q: Use the definition of the derivative to find the derivative of the following. y = 4x2 + 3x - 2

A: Solution:y = 4x2 + 3x - 2To find the Derivative By Using the Definition of…

Q: Find the derivative of the function y=1x+2x2+3x3.

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Q: Use the product rule to find the derivative of the following.: . y = (3x2 + 2)(2x - 1)

A: The given function is   y = (3x2 + 2)(2x - 1)

Q: Find the derivative of the following, using first principles a) 2x2 b) x3 c) 8-x2

A: The given functions are a) 2x2b) x3c) 8-x2 Definition:     First principles to find derivative of fx…

Q: Use the General Power Rule to find the derivative of the function. g(x) = v6- 7x

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Q: Find the derivative of the function. y = x2(8x2 - 9x) y' =

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Q: Using the definition of derivative, find the derivative of f(x) = x² + 4x + 4.

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Q: Use the Product Rule to find the derivative of the function.

A:

Q: Use the product rule to find the derivative of the following. : y = (5x2 - 1)(4x + 3)

A: Given: y=5x2-14x+3 Product Rule: f.g'=f'.g+f.g'

Q: Find the derivative of the function f(x) (3x+6)? 6x2+13

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Q: Use the definition of the derivative to find the derivative of, g(x)=x3−2x2+x−1

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Q: Use the product rule to find the derivative of (4x⁹7x¹)(5e* - 4) Use e^x for e. You do not need to…

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Q: Find the derivative of the function y=32x3√x.

A: Given- y=32x3x To find- The derivative of the above function. Formula used- Using the product rule…

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

A: Given function is:

Q: Use the product rule to find the derivative of the following.:y = (2x - 5)2

A: we have to use the product rule to find the derivative of the given function. y = (2x - 5)2…

Q: Using the definition of derivative, find the derivative of f(x) = x² + 6x + 6.

A: Here we can find the derivative using definition as below.

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

A: Given function is Differentiating with respect to x using product rule of differentiation

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Use the DEFINITION OF A DERIVATIVE to find the derivative of the function. 2) f(x) =5x2 + 3

A: We have to find the derivative by using definition of derivative

Q: Use the chain rule to find the derivative of f(x)=4(5x^5+2x^4)^−1/2 The answer should look like…

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Q: (3x² + 1)(2x – 1) 27. f(x) 5x + 4

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Q: Find the derivative of the functionf(x)= 9x² + 4x +6, using the definition of the derivative,

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Q: Use the definition of the derivative to find the derivative of the following y = x3 + 6x + 3

A: Given function: y=x3+6x+3 We know that the definition of derivative f'x=limh→0 fx+h-fxh Substitute…

Q: Find the derivative of the function y=23x+3x4.

A: Given:y=23x+ 3x4Derivative formula:ddxxn=n.xn-1

Q: Find the derivative of the function. f(x) = 8x +3/x2

A: We have to find the differentiation of the function: fx=8x+3x2 This will be differentiate by…

Q: Find the derivative of the function y = 4x3- x2+6x-5

A: Find the derivative of the function      y = 4x3- x2+6x-5

Q: Use the Product Rule to find the derivative of the function. g(x) = (x² – 6x + 7)(x³ – 1) g'(x) =

A:

Q: Use the Product Rule to find the derivative of the function.                          g(x) = (2x −…

A: Given:gx=2x-31-5x

Q: find the derivative of the function f(x)=8x^2ln8x

A:

Q: Use the definition of the derivative to find the derivative of each function with respect to x 1)…

A: Given: y= -2x+5

Q: Find the derivative of f(x) = x3 + 2x, use the definition of the derivative

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Q: Use the Product Rule to find the derivative of the function. f(x) = (5x − x3)(9x + 8)

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Q: Use the Product Rule to find the derivative of the function.                                y = (3x…

A: Given function, y = (3x − 4)(x3 + 5) Apply the Product Rule  ddx[g(x)h(x)] = g(x)ddx[h(x)] +…

Q: Use the Product Rule to find the derivative of the function. g(x) = (x2 − 4x + 2)(x3 − 5)

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Q: Find the derivative of the fractional function y=2x+1x3.

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Q: Using the definition of derivative, find the derivative of f(x) = x² + 6x + 6. %3D

A: Using definition of derivatives.

Q: Use the definition of the derivative to find the derivative of f(x)=6x^2+7x+1

A: Consider the function. fx=6x2+7x+1 Let f is a real function and c is a point in its domain. The…

Q: Find the derivative of the function.h(x) =9x9−7x7+ 8x

A: we will find derivative of f(x)we will use power rule

Q: (c) For y = 2x2 In(4x) – x², find y'.

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.