Question

If f(x)=sqrt(14x)

a)find f' (x)

b) find f'(4)

Answer 1

f(x) = (14x)^(1/2)

f ' (x) = (1/2)(14x)^(-1/2) (14)
= 7/√(14x)

f ' (4) = 7/√(56) or 7/(2√14)