Suppose H (x) = (2-2x)*. Find two functions f and g such that (f og) (x)=H(x).

Q: use the definition of derivative to find f prime (x). f(x)= 3(2x-1)^3

A: Given function is fx=32x-13. To find the derivative of the function using definition of derivative.…

Q: Use the First Derivative Test to find any relative extrema of the function. (a) g(x) = 2x³ – 18x

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Q: Find the derivative of the function f(x) = -8x² – 18x + 23 by definition of derivatives f(x + h) –…

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Q: Find the derivative of f (x) = x2 + 2x + 2.

A: The given function is, fx=x2+2x+2 To find the derivative of the function, we use the power rule of…

Q: Find the derivative of: f(x) = (x3 + 2) In(x)

A: Consider the function

Q: Find the derivative of f(x) = x2√(1 − x2)

A: Given:

Q: 1. Find the derivative of f(x) if f(x) = x7 + 10x5 – x² – 4

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Q: Let f(x)= 3x^2+x-5. Using the definition of the derivative, find f’(x).

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Q: For k(x)=(x−1)(−x2−2x)(2x−2), find the derivative of k(x) using the product rule. Do not include…

A: Obtain the derivative of the function k(x) as follows.

Q: Use derivatives to sketch the graph of f(x) = (x² – 8x + 16)e².

A: Given

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/8-definition of the derivative to prove that f'(2) = 9.

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

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Q: Use the Chain Rule to find the derivative. f(x) = (x5 – x3 – 1)2/5 %3D

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Q: 15. If f(x) = x2 - 6x - 9, find f(x) by using the formula/limit definition of derivative.

A: Given: fx=x2-6x-9 we know that derivative for any given functionfx by using limit definition is…

Q: Use the first derivative test to determine the relative extreme values of the function. below. a.…

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Q: Let f(x) = 2x ^ 3 – 7x + 3x ^ 7 – 2. Find the 4th order derivative evaluated at x=2. A

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Q: Find the derivative using the limit process of f(x)=x² + 3x f(x)=x² +3x

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Q: Use the limit definition of a derivative to solve the following of f'(x) f(x)=4x2-x+1

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Q: 1. Find the derivative of f(x) = 3x³ + 2x using the limit definition.

A: We have to find derivative using definition.

Q: Let f(x) = }x² – x³. Find the value(s) of x if the second derivative f" (x) equals zero.

A: Use the formula, ddx(xn)=nxn-1 to calculate the derivative. Differentiate f(x) with respect to x to…

Q: Find the local minimum and local maximum values of the function g(x) = 6x2− 4x3 using both the First…

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Q: Suppose 8 (x) =Vx+1,What is the correct result of the second derivative of g with respect to x? %3D…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find the derivative of f(x)= 5x² +2 using the limit definition of the derivative.

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Q: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

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Q: find the derivative of g(x) = (x+5)/(5-2X) using the definition of the derivative. must show all…

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Q: Find the derivative of g(x) = 4x 1+4* •

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Q: 3. Use the limit definition of the derivative to find the derivative of the function. a) f(x) = 2x²…

A: Given query is to find the derivative using definitely.

Q: Find the derivative of the function f ( x ) = x2−10x+3 using First Principles.

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Q: Find the derivative of the function. g(x) = In(x – 5.1x=1) g'(x) =

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Q: Find the derivative: g(x) = 6x² e- X O g'(x) = 6xe (2-x) Og'(x) = -12xe** O g'(x) = 6xe (2-x) O…

A: We have to find derivative of given function.

Q: Find the derivative of the algebraic function. f(x) = (x3 − x)(x2 + 2)(x2 + x − 1)

A: Given information: fx=x3-xx2+2x2+x-1

Q: : Find the value of k that makes function continuous at x = 4 %3D 3x + 6 x > 4 f(x) = 6x – k x < 4 -

A: To find: The value of k

Q: Find the derivative of the following using the limiting process. f(x)= -4x2 + 5x

A: Given: fx=-4x2+5x

Q: f(x) = (x2 + x) (x* - 6x)3 %3D

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Q: Find the derivative of the algebraic function. f(x) = (4 − 3x − x2)/(x2 − 1)

A: We have to find the derivative of the algebraic function: fx=4-3x-x2x2-1 Rewriting the function,…

Q: Find the derivative of the function f(x) = 8x² – 14x by the definition of derivatives f(x+h)-f(x)…

A: Given function: fx=8x2-14x

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 higher-order derivative    1. f ''(x)=16x^(3)-38x^(2)

A: Derivative

Q: Find the derivative of the function f(x) 3x2 – 12x by the definition of derivatives f(x + h) – f(x)…

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Q: Suppose f(x) = x^2−3x−5. Using the definition of derivative, compute f'(3).

A: Consider the given function: Here the objective is to find the derivative of the given function…

Q: Find the local extremes of f (x) = x³ +2x+ using the first derivative test.

A: Given,         The local extremes of fx=x3+34x4 using the first derivative test.

Q: Find the derivative of f(x) = 4x5 +3x + 3 f(a) = 4x + 6x + (a) = 20a + 6æ + a f (x) = 4x4 + 3x + ¤…

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Q: The function f(x) = 2x³ – 27x² + 108x + 9 has derivative f'(x) = 6x² – 54x + 108. f(x) has one local…

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