What is the equation of the line normal to #f(x)=3x^2 +x-5 # at #x=1#?
We need to obtain first the slope m which is negative reciprocal of the slope of the tangent line at x=1 on the curve
Compute the first derivative
Determine the ordinate for the given abscissa
The point is at
Determine the Normal Line now using Point-Slope Form
See the graph of