# Math Help - Finding the slope of a polynomial function

1. ## Finding the slope of a polynomial function

The direction are to find g'(x) for the function. g'(x)= slope
this is the equation we are given
g'(x)=lim (g(x+h)-g(x))/h The limit is h>0

idk how to do the rad sign on the keyboard. ITs all under the rad

i know how to do these problems, its just i got stuck on this specific one. Thanks a lot for the help

2. $\lim_{h\to 0}\frac{\sqrt{3(x+h)-2}-\sqrt{3x-2}}{h}=\lim_{h\to 0}\frac{3(x+h)-2-3x+2}{h\left(\sqrt{3(x+h)-2}+\sqrt{3x-2}\right)}=$

$=\lim_{h\to 0}\frac{3}{\sqrt{3(x+h)-2}+\sqrt{3x-2}}=\frac{3}{2\sqrt{3x-2}}$

3. ## thanks

thanks you

4. Keep track of that "multiply by the conjugate" trick the helper showed you. You will need it again!