How do you differentiate y=sqrt(4x +3)?

1 Answer
Nov 2, 2016

y = 2/(sqrt(4x+3)

Explanation:

Using chain rule, we first find the derivative of the form

d/dx(sqrt(x)) = 1/(2sqrt(x))

hence, we have,

dy/dx = 1/(2sqrt(4x+3))

But, we are not done yet. as we have a term containing x in it inside the square root.
Therefore, we differentiate the linear term inside the square root,

d/dx(4x+3) = 4

Hence our answer is 4/(2sqrt(4x+3)) = 2/(sqrt(4x+3)