Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question

I'm confused about what they're doing.  It looks like they're using the chain rule on the e^-1/x.  Do I need to do that every time the exponent has a variable in it?

Given: The function y =x²e7. Differentiate equation (1) with respect to x on both sides. dy dx dx Let u = x² and v = e7. Apply product rule and obtain as, = x² d dx d + e dx dx The derivatives are found as, (-) = 1(*) = e(-x ') ' (x-²) dx dx 숲 (12) %3D 2r dx Thue oauetinn (2) hoonmor.
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Transcribed Image Text:Given: The function y =x²e7. Differentiate equation (1) with respect to x on both sides. dy dx dx Let u = x² and v = e7. Apply product rule and obtain as, = x² d dx d + e dx dx The derivatives are found as, (-) = 1(*) = e(-x ') ' (x-²) dx dx 숲 (12) %3D 2r dx Thue oauetinn (2) hoonmor.
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