What is the equation of the normal line of #f(x)=x^3-11x^2-5x-2# at #x=0#?
To find the slope of the normal line, first find the slope of the tangent line. Since the tangent line and normal line are perpendicular, their slopes will be the opposite reciprocals of one another.
The slope of the tangent line at
First, through the power rule, find the function's derivative:
So, the normal line has slope