so i am having trouble finding the answer

Question

h't if h(t)= 5/t^1/4 - 6/t^2/3

Answer 1

In google type calc101

When you see list of results click on:
calc101com

When page be open click option: derivatives

When page be open in rectacangle type:

5/(t)^(1/4)-6/(t)^(2/3)

In rectacangle:
with respect to type t

In rectacangle:
and again with respect to type t

Then click options DO IT

You will see solutions step-by-step

Answer 2

5/t^1/4 - 6/t^2/3

I rewrite as, (my preference)
5t^(-1/4) - 6t(-2/3)

h' =
-1/4 * 5t^(-5/4) - (-2/3 * 6t^(-5/3))
h' = -5/4t^(-5/4) + 12/3t(-5/3)
h' -5/4t^(-5/4) + 4t(-5/3)
h' = 4/(t^(5/3)) - 5/(t(^5/4))

Answer 3

You also can in google type:
derivatives online

When you see listo of results click on:

numberempirecom/derivatives.php

and

solvemymathcom/online_math_calculator/calculus/derivative_calculator/index.php

On this sites you will see your derivation in two different simplify forms