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

Asked on by dawks

1 Answer | Add Yours

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

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`

We’ve answered 319,844 questions. We can answer yours, too.

Ask a question