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Question
Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):
(x2 + 1) cos x
Solution
`d/dx[(x^2 + 1) cos x] = [d/dx(x^2 + 1)] cos x + (x^2 + 1) d/dx cosx`
= 2x cos x + (x2 + 1)(−sin x)
= 2x cos x − (x2 + 1) sin x
= −x2 sin x − sin x + 2x cos x
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