`f(x) = sin(x) ln(5x)` Differentiate the function.

Textbook Question

Chapter 3, 3.6 - Problem 9 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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hkj1385 | (Level 1) Assistant Educator

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`f(x) = sinx*ln(5x)`

`f'(x) = cosx*ln(5x) + sinx/x`

Note:- If y = sinx ; then dy/dx = cosx

If y = lnx ; then dy/dx = 1/x

If y = u*v ; where 'u' & 'v' are functions of 'x'; then dy/dx = u*v' + v*u'

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