Question

Find the derivative of the following functions w. r. t. x.:

`x^(3/2)`

Answer 1

Let y =`x^(3/2)`

Differentiating w.r.t. x, we get

`dy/dx = d/dxx^(3/2)`

= `3/2 x^(3/2-1)`

= `-3/2 x^(1/2)`

= `3/ 2 sqrtx`