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

1 Answer
Himanshu Shekhar
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) #

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