20 Dec 2021
Problem 55
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 parabola which is parallel to the line .
Step-by-step explanation
Step 1.
Required line has a form .
It is normal line to the parabola
therefore use rule for slope of normal lines.
where represents slope of function and represents slope of required line.
Find a slope for . That is derivative of this function.
The slope of function is .
Rewrite function
as
Slope of this function is .
As the required line is parallel to the line , they have equal slopes. Therefore .
Use
to find coordinate where required line is normal to the line of parabola.