let f(x) = (x)^(1/2)

Question

Compute the difference quotient for f(x)at a=37 and h=33

Answer 1

Just plug and chug:

(f(x+h) - f(x)) / h

(sqrt(37+33)-sqrt(37))/33

(sqrt(70) - sqrt(33))/33

(8.366-5.744)/33 = 0.079