What is the equation of the line normal to #f(x)= x^3e^x # at #x=2#?
From the given equation
Let us solve for the point first. We should find
We now have the point at
Now, we need to compute the slope m and then obtain its negative reciprocal because, we are after the normal line.
First derivative of
For the normal line, we need
Let us write the Normal line equation using
By Point-Slope form
God bless....I hope the explanation is useful.