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(1) For each of the following functions, identify which rule (the product rule, quo- tient rule or chain rule) you would use to differentiate the function. Give a 1-2 sentence explanation justifying your answer. (a) f(x) = sin(x) x = 0 4x3, (b) y = ln(x² + 11x − 10) (c) f(x) = ex cos(3x)

(1) For each of the following functions, identify which rule (the product rule, quo- tient rule or chain rule) you would use to differentiate the function. Give a 1-2 sentence explanation justifying your answer. (a) f(x) = sin(x) x = 0 4x3, (b) y = ln(x² + 11x − 10) (c) f(x) = ex cos(3x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(1) For each of the following functions, identify which rule (the product rule, quo- tient rule or chain rule) you would use to differentiate the function. Give a 1-2 sentence explanation justifying your answer. (a) f(x) = sin(x) x = 0 4x3, (b) y = ln(x² + 11x − 10) (c) f(x) = ex cos(3x)
Transcribed Image Text:(1) For each of the following functions, identify which rule (the product rule, quo- tient rule or chain rule) you would use to differentiate the function. Give a 1-2 sentence explanation justifying your answer. (a) f(x) = sin(x) x = 0 4x3, (b) y = ln(x² + 11x − 10) (c) f(x) = ex cos(3x)
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