How do you determine the derivative of xcosx?

manudyent7 2022-09-12 Answered
How do you determine the derivative of xcosx?
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Answers (1)

Mekhi Parker
Answered 2022-09-13 Author has 18 answers
Find the first derivative and then differentiate again.
d y d x = 1 ( cos x ) + x ( - sin x )
d y d x = cos x - x sin x
Differentiate again.
d 2 y d x 2 = - sin x - ( 1 ( sin x ) + x ( cos x ) )
d 2 y d x 2 = - sin x - sin x - x cos x
d 2 y d x 2 = - 2 sin x - x cos x

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