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Question
Differentiate the following:
y = (1 + cos2)6
Solution
y = (1 + cos2)6
y = f(g(x)
`("d"y)/("d"x)` = f'(g(x)) . g'(x))
`("d"y)/("d"x)` = 6(1 + cos2x)6–1 (0 + 2 cos x × – sin x)
`("d"y)/("d"x)` = 6(1 + cos2x)5 × – 2 sin x cos x
`("d"y)/("d"x)` = – 6 sin 2x(1 + cos2)5
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