Question

How do i find the derivative of (6x / the square root of x squared + 5)?

Answer 1

Quotient rule:
Assuming
\[f(x)=\frac{6x}{\sqrt{x^2+5}}\]
Then:
\[f'(x)=\frac{6(\sqrt{x^2+5})-(6x)(\frac{1}{2})(2x)(x^2+5)^{\frac{-1}{2}}}{(\sqrt{x^2+5})^2}\]
Then you can simplify it from there.

Answer 2

Refresh if the latex looks bad

Answer 3

this site is very helpful:
http://www.mathwords.com/d/derivative_rules.htm

Answer 4

orrr, go with the whole f(x+h)-f(x) fiasco :)

Answer 5

I agree with amistre^^

Answer 6

Builds character :)

Answer 7

if you cant remember the shortcuts; you pretty much dont deserve them ;)

Answer 8

Haha

Answer 9

Thanx