Question

Question: Find the derivative

f(x)= 4sqrtx(2sqrtx+6)

Answer 1

f(x) = 4√(√x + 6)

= 4(2 x^(1/2) + 6)^(1/2)

f ' (x) = 2(2x^(1/2) + 6)^(-1/2) (x^(-1/2) )
= 2/(√x(2√x + 6) )