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Question
Find the derivatives of the following functions with respect to corresponding independent variables:
f(x) = x sin x
Solution
f(x) = uv
⇒ f'(x) = uv’ + vu’
= `"u" ("d"u)/("d"x) + "v" ("d"v)/("d"x)`
Now u = x
⇒ u’ = 1
v = sin x
⇒ v’ cos x
f'(x) = x (cos x) + sin x(1)
= x cos x + sin x
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