What is the slope of the line normal to the tangent line of #f(x) = sin(3x-pi) # at # x= pi/3 #?
We start by finding the corresponding
We now differentiate. We let
By the chain rule,
We now determine the slope of the tangent.
The normal line is perpendicular to the tangent, so the slope will be the negative reciprocal.
We can now determine the equation.
Hopefully this helps!