Let f(x) = 4x5/4 + 10x3/2 + 9x. Find the following.

(a)
f '(4)

1 answer

f = 4x^(5/4) + 10x^(3/2)
f' = 4(5/4)x^(1/4) + 10(3/2)x^(1/2)
= 5∜x + 15√x
f'(4) = 5∜4 + 15√4 = 5√2 + 30