Use the theorems on derivatives to find the derivative of the following function:   f(x) = (7x4 + 8x3 - 5x2 + 2x - 3)7(2x3 - 5x2 + 4x - 2)10

Q: Use the theorems on derivatives to find the derivative of the following function:   f(x) =   (x3 +…

A: Given function is Now quotient rule of differentiation states that  (u/v)'=(vu'-uv')/v^2

Q: Use formulas (1) and (2) and the power rule to find the derivatives of f (x) =3x/4 - 2

A: As the formulas (1) and (2) are not provided here. So, I solved by using the basic formulas of…

Q: Use the theorems on derivatives to find the derivative of the following function:   f(x) = (x2 + 2x…

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Q: find the derivatives of f(x)= (-3+x^-3)(-4x^3+3) using product rules.

A: We need to find the derivatives of f(x)= (-3+x^-3)(-4x^3+3) using product rules.

Q: Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x) =…

A: Given f(x) = 3x then f'(x) = limh→0f(x+h)-f(x)h= limh→03x+h-3xh= limh→03x-3x-3hx(x+h)h=…

Q: Use the limit definition of the derivative to find the derivative of the function 3x – 7 f(x) = %3D…

A: The function f(x)=3x-75x2+1. We have to find the derivative of the given function using the limit…

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 theorems on derivatives to find the derivative of the following function:   f(x) =   x3 +…

A: Differentiate both sides with respect to x.

Q: Use the alternate form of the derivative to find the derivative at x=c, if it exists f (x) = x3 +…

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Q: Use the theorems on derivatives to find the derivative of the following function:   f(x) = 7x5 * 5x4…

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Q: Find the derivative of  f(x) = x^6-5x^3+8x-1

A: Use derivative of x^n formula.

Q: f(x)=Vx+2x 7x-4x2

A: Derivative is the rate of change in function with respect to variable in x.

Q: find the derivative by using the definition of a derivative.f(x)=-4x^2-5x-2

A: we have given,

Q: Use the rules of differentiation to find the derivative of the function.             g(x) = x2 + 4x3

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Q: Use the alternate form of the derivative to find the derivative at x=c, if it exists. f(x) = x³ +…

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Q: Use the Generalized Power Rule to find the derivative of the function. f(x) = 4x2(5x + 1)4

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Q: Use the alternate form of the derivative to find the derivative at x-c, if it exists. f(x) = x³ +2x2…

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Q: Find the derivatives with respect to x of the function 2-3x2 A-2x2//2-3x2 -3x /2-3x2 9-2x²/ /2+3x² D…

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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: 4x+1 b. g(x) 9х-2

A: Given : g(x)=4x+19x-2   To Find : Derivative of g(x) using definition   NOTE:If f(x)=uv  , where u…

Q: Use the theorems on derivatives to find the derivative of the following function: ((x3 + 2x2 + 4x +…

A: Consider the function

Q: find the derivative by using the definition of a derivativef(x)=4x^2+1

A: Formula used:The derivative of f(x) with respect to x is the function f'(x) is

Q: 6 g(x) (4x2 + 5x)' g'(x) =

A: GIVEN: g(x) = 64x2 + 5x7

Q: Use the theorems on derivatives to find the derivative of the following function: ((5x3 - 4x2 + 3x -…

A: Assume A,B, and C and find their derivatives with respect to x.

Q: f(x)=5e -5x+1

A:

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

A: Given: The functions in x is given.         1) fx=-4x-22) y=4x2+13) fx=-3x2+4 Objective is to find…

Q: Find the derivative of the function f(x) = / (x³ + 7x) by using the definition of the V derivative.

A:

Q: use the theorems on derivatives to find the derivatives of the following function:   f(x) = (4x5 -…

A: We have given the function f(x) = (4x5 - 3x4 + 7x2)/(8x3 - 5x + 2)

Q: f(2) — V3х — 7

A: Solved using terms of derivative.

Q: Use the theorems on derivatives to find the derivative of the following function:   f(x) =   4x5 -…

A: The given function is a quotient function. Here we apply the quotient rule to find the derivative of…

Q: Find the derivative of the function by first expanding or simplifying the expression. f(x) = (5x-…

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Use the theorems on derivatives to find the derivative of the following function:   f(x) = (8x4 -…

A: Simplify f(x) by doing the multiplication.

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

A: Rules of Differentiation that are used in the given problem.

Q: use the theorems on derivatives to find the derivatives of the following function:   f(x) = 3x5 -…

A: There are two operations addition and substraction in the given function which is a polynomial. We…

Q: find the derivative of the function using only the definition.f(x)= 16x^2-3x+12

A: Initial Calculation:The variable f(x) is a function of x. The derivative of f(x) found with respect…

Q: Find the derivative using the definition for the function f(x) 4 +8x-5x2.

A: Limit defination of derivative f'(x)=limh→0f(x+h)-f(x)h

Q: use the theorems on derivatives to find the derivatives of the following function:   f(x) = (5x3 +…

A:

Q: Find the derivative of the function by first expanding or simplifying the expression. 5x2 + 45x 2)…

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Q: Use the Generalized Power Rule to find the derivative of the function. f(x) = (3x + 2)5(3x − 2)6

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Q: Find the derivative of  f(x) = 5x^3-7x+1

A: Given data: The given function is f(x)=5x3-7x+1. The expression for the derivative of the given…

Q: Find the derivative of f (x)= 2- √(5x) using the definition of derivative.

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Q: Use the theorems on derivatives to find the derivative of the following function:   f(x) = 7x5 - 5x4…

A: Consider the function f(x) = 7x5 - 5x4 + 4x3 - 7x2 + 2x – 5

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

A: Rules of Differentiation that are used in the given problem.

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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