Find the derivative of f(x).f(x) =(1)/(x^(5) )Write your answer as a constant times power of x.

Question

Find the derivative of f(x).f(x) =
`(1)/(x^(5) )`Write your answer as a constant times power of x.

Answer 1

The given function is

f(x) = 1/x^5

f(x) = x^-5

To find the derivative of x^y, it is written as yx^(y - 1)

Therefore,

f(x) = -5x^-5-1

f(x) = - 5x^-6