If g(x) = sin(ln x), what is g'(x)

Expert Answers

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It is given that g(x) = sin(ln x). The derivative g'(x) has to be determined.

Use the chain rule

g'(x) = [sin(ln x)]'

=> cos (ln x)*[ln(x)]'

=> cos(ln x)*(1/x)

The required derivative g'(x) = `(cos(ln x))/x`

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