Question

Differentiate the function q(x) = 4sqrt(x+3)/(x-1)

Answer 1

use the quotient rule then use the chain rule for when you have to differentiate the sqrt(x+3)

Answer 2

\[q(x)=\sqrt[4]{(x+3)/(x-1)}\] is this the equation that your answer was solving?

Answer 3

you can use u-substitutions:

u=(x+3)/(x-1)
v=\[u ^{1/4}\]

u'*v'= your answer

u'= -4/(x-1)^2
v'=(1/4)*v^(-3/4)

= (-1)/ ((x-2)^2*((x+3)/(x-1))^3/4)

Answer 4

\[4\times \sqrt{x+3}/(x-1) \]
This is how I understood the q.