Find d^2y/dx^2. y=x sin x-3 cos x

Ryder Ferguson 2022-10-22 Answered
Find d 2 y / d x 2
y = x sin x 3 cos x
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Answers (1)

Gael Irwin
Answered 2022-10-23 Author has 13 answers
Given that,
y = x sin x 3 cos x
Differentiate w.r.t x
d y d x = x ( cos x ) + sin x ( 1 ) ( 3 sin x ) = x cos x + sin x + 3 sin x d y d x = x cos x + 4 sin x
Again Diff. w.r.t. x
d 2 y d x 2 = x ( sin x ) + cos x ( 1 ) + 4 cos x = x sin x + cos x + 4 cos x d 2 y d x 2 = x sin x + 5 cos x
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