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Question
If y = log [cos(x5)] then find `("d"y)/("d"x)`
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Solution
y = log [cos(x5)]
Differentiating w.r.t. x, we get
`("d"y)/("d"x) = "d"/("d"x)[log{cos(x^5)}]`
= `1/(cos(x^5))*"d"/("d"x)[cos(x^5)]`
= `1/(cos(x^5))*[-sin(x^5)]*"d"/("d"x)(x^5)`
= `(-sin(x^5))/(cos(x^5))*5x^4`
= – 5x4 tan(x5)
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