Question

Given the function f(x) = 4/5x^5, find f’(x). Express your answer in simplest form without using negative exponents

Answer 1

Given:

`f(x)=(4)/(5)x^5`

Required:

`f\placeholder{⬚}^{^(\prime)}(x)`
`\begin{gathered} if\text{ }f(x)=ax^n \\ then, \\ f\placeholder{⬚}^{^(\prime)}(x)=anx^(n-1) \\ so^(\prime), \\ f\placeholder{⬚}^{^(\prime)}(x)=(4)/(5)*5* x^(5-1)=4x^4 \end{gathered}`
`f\placeholder{⬚}^{^(\prime)}(x)=4x^4`