Find the critical numbers of the function.

Question

h(t) = t3/4 − 5t1/4

Answer 1

h = t^(3/4) - 5t^(1/4)
h' = 3/4 t^(-1/4) - 5/4 t^(-3/4)
= (3√t-5) / 4t^(3/4)

h' is undefined at t=0
h' = 0 at t = 25/9