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Question
Find the derivatives of the following functions with respect to corresponding independent variables:
y = x sin x cos x
Solution
y = x sin x cos x
y = `1/2* 2 sin x cos x`
y = `1/2 x * sin 2x`
`("d"y)/("d"x) = 1/2 [x cos 2x xx 2 + sin 2x xx 1]`
`("d"y)/("d"x) = 1/2 [2x cos 2x + 2 sin x cos x]`
= `1/2 xx 2[x cos 2x + sin x cos x]`
`("d"y)/("d"x) = x cos 2x + sin x cos x`
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