Question:
FInd the equation of the normal lines to the curve $\displaystyle y=x^3-3x $ which is parallel to the line of $\displaystyle 2x+18y-9=0 $
Attempt:
$\displaystyle f'(x)=3x^2-3$
$\displaystyle m=9 $
$\displaystyle x=2 ;y=2 $
$\displaystyle y-2=9(x-2) $
Is my equation correct?
If not please answer in steps
Thank you