Differentiate the function : f(x)= sin (3*ln x)

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justaguide eNotes educator| Certified Educator

The function f(x) = `sin(3*ln x)` . Use the chain rule to find the derivative.

f'(x) = `(sin(3*ln x))'*(3*ln x)'`

=> `cos(3*ln x)*3*(1/x)`

=> `(3*cos(3*ln x))/x`

The required derivative is `(3*cos(3*ln x))/x`

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