# Finding the slope of a polynomial function

• Apr 19th 2009, 08:26 PM
Kasra12321
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
• Apr 20th 2009, 01:09 AM
red_dog
$\lim_{h\to 0}\frac{\sqrt{3(x+h)-2}-\sqrt{3x-2}}{h}=\lim_{h\to 0}\frac{3(x+h)-2-3x+2}{h\left(\sqrt{3(x+h)-2}+\sqrt{3x-2}\right)}=$

$=\lim_{h\to 0}\frac{3}{\sqrt{3(x+h)-2}+\sqrt{3x-2}}=\frac{3}{2\sqrt{3x-2}}$
• Apr 20th 2009, 05:48 AM
Kasra12321
thanks
thanks you
• Apr 20th 2009, 06:01 AM
stapel
Keep track of that "multiply by the conjugate" trick the helper showed you. You will need it again! (Wink)