Question

Find f'(t) for the function f(t) = √(7)/t⁴.

Answer 1

Answer:
`f'(t)=(4√(7))/(t^(5))`

Explanation:

First we are going to rewrite this equation in terms that are easier to take the derivative of:

`f(t)=(√(7))/(t^4)`

`f(t)=(√(7))(t^(-4))`

Then we are going to take the derivative of the function and use the power rule
`(d)/(dx)x^n=(n)x^(n-1)`:

`f'(t)=(d)/(dt)(√(7))(t^(-4))`

`f'(t)=(√(7))(-4)(t^(-5))`

`f'(t)=-4t^(-5)√(7)=(4√(7))/(t^(5))`