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Question
Differentiate the following:
y = cos (a3 + x3)
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Solution
y = cos (a3 + x3)
[y = f(g(x)
`("d"y)/("d"x)` = f'(g(x)) . g'(x)]
`("d"y)/("d"x) = - sin ("a"^3 + x^3) "d"/("d"x) ("a"^3 + x^3)`
`("d"y)/("d"x)` = – sin (a3 + x3)(0 + 3x2)
`("d"y)/("d"x)` = – 3x2 sin (a3 + x3)
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