How do I go about taking the derivative of the square root of (5x+6)? I know it is also equivalent to (5x+6)^1/2 then chain rule, but according to web work my process is wrong. Thanks! How do I go about taking the derivative of the square root of (5x+6)? I know it is also equivalent to (5x+6)^1/2 then chain rule, but according to web work my process is wrong. Thanks! @Mathematics

Question

How do I go about taking the derivative of the square root of (5x+6)?    I know it is also equivalent to (5x+6)^1/2 then chain rule, but according to web work my process is wrong. Thanks!  How do I go about taking the derivative of the square root of (5x+6)?    I know it is also equivalent to (5x+6)^1/2 then chain rule, but according to web work my process is wrong. Thanks!  @Mathematics

jim_thompson5910 · Answer

sqrt(5x+6)


(5x+6)^1/2


Derive this to get


(1/2)(5x+6)^(-1/2)*d/dx(5x)


(5/2)(5x+6)^(-1/2)


5/(2(5x+6)^(1/2))


5/(2*sqrt(5x+6))



So the derivative is $$\Large \frac{5}{2\sqrt{5x+6}}$$

jim_thompson5910 · Answer

oops meant to type d/dx(5x+6), but you get the same answer anyway

anonymous · Answer

Thanks I appreciate it!