find the derivative of f(x)=(x-2*lnx)^4

2 Answers

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The function `f(x)=(x-2*lnx)^4` . The derivative f'(x) is determined using the chain rule.

`f'(x) = 4*(x - 2*ln x)^3*(1 - 2/x)`

The required derivative of `f(x)=(x-2*lnx)^4` is `f'(x) = 4*(x - 2*ln x)^3*(1 - 2/x)`