What is the derivative of `y = sin(x^(1/3)) + (sin x)^(1/3)`

1 Answer | Add Yours

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

We have to find the derivative of `y = sin(x^(1/3)) + (sin x)^(1/3)`

`y' = cos x^(1/3)*(1/3)*x^(-2/3) + (1/3)*(sin x)^(-2/3)*cos x`

`y' = (1/3)((cos x^(1/3))/x^(2/3) + (cos x)/(sin x)^(2/3))`

The required derivative is `y' = (1/3)((cos x^(1/3))/x^(2/3) + (cos x)/(sin x)^(2/3)) `

We’ve answered 318,989 questions. We can answer yours, too.

Ask a question