95. Negative Exponents Let n be a whole number. Use the Power Rule for x" to calculate the derivative of f(x) = x" by showing that f(x +h) – f(x)_ -1 x" (х + hy" (x + h)" – x"

Q: = (x),! %D (b) Use part (a) to find the derivative of f(x). 4 (X)d – (4 + x)f (a) Compute the…

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Q: 23 The derivative of the function f(x) = xª + is 23 4x3 (x²) 23 4x3 + (w³) 23 4x3 + (x) 1 4x 23 O 4x…

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Q: 1. Determine the derivative of the function (without simplifying) f(x): a. The extended product rule…

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Q: Find the derivative of the 1 f(x) = x5 + (x² + 7)(x² – x – 2) + 17 5.

A: Given: fx=15x5+x2+7x2-x-2+17

Q: Use the product rule to find the derivative of y=(5x² − 4)"^(2x* + 7)³³ NOT Simplify after…

A: Since there are multiple questions asked, by the bartleby's guidelines only one question will be…

Q: Find the derivative of the inverse of the function f(x)=x* – 5x² +1, for 0<x<2, at the point (-3,1)…

A: To find the derivative of the inverse of the function f(x)=x4-5x3+1 at a point (-3,1), where (-3,1)…

Q: what is the derivative of the function below / find it:   f(x) = (-3x2 +3x2 +3x -4) (x2 +2x +1

A: Differentiating equation with respect to x  Let,Using power rule of differentiation

Q: Find the derivative and state the domain of f(x) = In(x + 4) %3D

A: In this question, concept of derivative is used. Derivative The derivative expresses the rate of…