Use the formal definition to find the derivative of f(x) = 4 at x = 8. x+3

Q: Use the definition of the derivative equation (f(x+h)-f(x))/h) to find the derivative of (1/x).

A: The definition of derivative is given by,

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

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Q: Use the definition of the derivative to find f' (x) for f (x) = v2x + 1.

A: The derivative of f(x)=2x+1 is to be found using the definition of derivative. The derivative of…

Q: Use the formal definition of the derivative to find f'(x) is f(x)=x²-4x

A: See the details solution in below

Q: Use the definition of the derivative to find (x) where f(x)=v3x+1

A: Definition of derivative state that, If n is a positive integer, the power rule says that the…

Q: What is the derivative of f(x) = 8x-4 with respect to x?

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Q: 2 f(x) = ; 2x-1

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Q: Calculate the derivative of f(x)=4x³ with respect to x and evaluate this derivative at x=2.

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Q: se the definition of a derivative to find f '(x) and f"(x). f(x) = 3x² + 6x + 3

A: Given,           fx=3x2+6x+3

Q: Use the power rule to find the derivative of f(x) = x – 14

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

A: Given :           The function h(x) = xx3 + 1 To find the derivative of h(x) using product rule.

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

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Q: Use the Quotient Rule to find the derivative of the function.                           h(x) =…

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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: Q1. Find the derivative of f(x) = 2x -- by using the definition of derivative.

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Q: use the definition of the derivative to find f'(x). f(x)=1/x2

A: We need to evaluate the derivative of the following function f(x) = 1x2

Q: Find the derivative of the function. 8x f(x) = In f (x) =

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Q: Calculate the derivative of the function below using the quotient rule. 2x ม 5x + 3 f(x) = and g(x)=…

A: Quotient Rule : If  y = f(x)g(x)  then  y' = g(x)·f'(x)-f(x)·g'(x)g(x)2.

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). f(x) = x2…

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Q: Use the definition of derivative to a) f(x) = x - 2r? b) f(- %3D

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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: Find the derivative of f( x ) - 237z. f'(x)

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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 derivative of f (x) = 2e". f' (æ) =

A: Given function

Q: Use the definition of the derivative to differentiate the following function. x2 f(x) = 3+ x

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Q: 3 Use the definition of derivative to find f'(x) for f(x): II

A: Given:

Q: 6. %3D F(x) = 5x

A: f(x)=65x

Q: Differentiate the following functions, using the definition of derivative. f(x) = x2 + 2 a.

A: For a small change h in x solve the limit for derivative of f(x) .

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

A: Proceed as shown below

Q: Use the definition of the derivative, to find the derivative of y (x) x +1 x + 4 (x + 4) 1 (x + 4) 3…

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Q: Use the formula  to find the derivative of the function

A: Givenf(x)=1x+2To find f'(x)

Q: Consider the function f(x)= x^2−3x.   Compute the derivative using the definition

A: In order to solve this question we will use the concept of first principle which defines derivative.

Q: Use the definition of the derivative to find f(x) if f(x)= x/(5x+2).

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Q: Use the definition of derivative to find f'(x) and f"(x). f(x) = 5x2 + 9x + 2 f'(x) = f"(x)

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Q: Use the definition of derivative to find = f'(x). f(x) = for 1 3x

A: Given f(x)=13xf'(x)=limh→0f(x+h)-f(x)h=limh→0(13(x+h))-13xh=limh→013x+3h-13xh

Q: F(x) = X2

A: Consider the function: fx=x2 The derivative of f(x) with respect to x is the function f′(x) and is…

Q: Use the definition of the derivative to find the derivative of f(x)=8x+0 f^1 (x)=

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

A: In this question we need to find a derivative of the given function

Q: Find the derivative of f(x)=x^1/2 at x=1/144

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Q: F(x) = X

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

Q: Let f(x) = 4x + . Use the definition of the derivative to find f'(1).

A: Solve

Q: Use the definition of derivative to find f'(x) and f"(x). f(x) = 5x2 + 4x + 1 f'(x) f"(x)

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Q: Use the definition of derivative to find f (x) if f(x) = Vx+3.

A: fx=x+3

Q: Use the definition of a derivative to find f(x). 7 (x) (x) =

A: we have given f(x).  We have to find the derivative of f'(x) by definition of derivative

Q: Use the General Power Rule to find the derivative of the function. g(x) = V3 - 9x %3D g'(x) =

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Q: Use the definition of the derivative to find f'(x) where f(x) = X – 1 - x + 1

A: Given data: Function : f(x) = (x-1)/(x+1)   The definition of derivative is,   Substitute the…

Q: Use the second derivative   f''(x)=x(x−1)(x−3)^2 to determine where the inflection points of f(x)…

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Q: find the derivative of the fuction. f(x)=(x^3-3)/(x^2-4)

A: Consider the given function.

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

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Q: Use the definition of a derivative to find f'(x) for f(x) = v2x

A: Solution:Given     f(x)=2xTo find f'(x)Formula:By the defition of derivativef'(x)=limh→0f(x+h)-f(x)h