Question

Find dy/dx of y=x^8/5

Answer 1

Given:

`y=x^{(8)/(5)}`

To find:

The first derivative of the function.

Step-by-step explanation:

Differentiating with respect to x, we get

`\begin{gathered} (dy)/(dx)=(d)/(dx)(x^{(8)/(5)}) \\ =(8)/(5)x^{(8)/(5)-1} \\ =(8)/(5)x^{(8-5)/(5)} \\ =(8)/(5)x^{(3)/(5)} \end{gathered}`

Final answer:

The first derivative of the given function is,

`(dy)/(dx)=(8)/(5)x^{(3)/(5)}`