redwombat228Lv1
20 Dec 2021
Problem 56
Page 182
Section: 3.1 Derivatives of Polynomials and Exponential Functions
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
20 Dec 2021
Given information
We are given the parabolic equation .
Step-by-step explanation
Step 1.
- parabola ;
We need to find where does the normal line to the parabola at this point intersect the parabola at second time.
Function is a differentiable function, so applying the Power Rule we obtain:
Now find the slope of a tagent at :
The normal line has a slope perpendicular to the slope of the tangent, hence
Let's find the equation of the normal line:
Now find the intersection between the normal line and the parabola :
We already know about the point , so the other point is :