Computing the derivative of f(x) = x 2 e x a. Use the definition of the derivative

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Computing the derivative of f(x) = x2ex

a. Use the definition of the derivative to show that

h?)eh – + 2xh + (x2 e*. lim :(x²e*) |dx

b. Manipulate the limit in part (a) to arrive at f'(x) = ex(x2 + 2x). Use the fact thateh lim 1.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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