Find the first and second derivatives of the function. y = e²xsin(5x) 5e²xcos (5x) + 2 sin (5x) e²x y' = y" = e²x (29 sin (5x) +20 cos (5x)) X

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 8E: Find derivatives of the functions defined as follows. y=e-x2
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Find the first and second derivatives of the function.
y = e²xsin(5x)
y' =
y" =
5e²x cos (5x) + 2 sin(5x)e²x
2x
e²x (29 sin (5x) + 20 cos (5x))
Transcribed Image Text:Find the first and second derivatives of the function. y = e²xsin(5x) y' = y" = 5e²x cos (5x) + 2 sin(5x)e²x 2x e²x (29 sin (5x) + 20 cos (5x))
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9780321964038
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Pearson Addison Wesley,