Answered: f (x + h) – f(x) (x + h)3 – x3 1 h h…

Name: Compute the derivative of f (x) = x3/2 using the limit definition. Hin
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Description: Compute the derivative of f (x) = x3/2 using the limit definition. Hint: Show that f (x + h) – f(x)(x + h)3 – x31hh/(x +h)³ + vx³

Math

Calculus

f (x + h) – f(x) (x + h)3 – x3 1 h h /(x +h)³ + vx³

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter5: Polynomial And Rational Functions

Section5.5: Zeros Of Polynomial Functions

Problem 1TI: Use the Remainder Theorem to evaluate f(x)=2x53x49x3+8x2+2 at x=3.

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Question

Compute the derivative of f (x) = x^3/2 using the limit definition. Hint: Show that

f (x + h) – f(x)
(x + h)3 – x3
1
h
h
/(x +h)³ + vx³

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