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

Question

asked May 27, 2023 52.9k views

1 Answer

Dez Udezue · Answer 1 · 2023-06-02T07:09:07+0000

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,

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