20 Dec 2021
Problem 66
Page 182
Section: 3.1 Derivatives of Polynomials and Exponential Functions
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
20 Dec 2021
Given information
The given figure is
Step-by-step explanation
Step 1.
There are two things to note:
-coordinates of the tangent and that of the curve are equal at the point where they touch.
The slope of the tangent and that of the curve are equal at the point where they touch
Given that is a tangent at
-coordinate when is
Therefore the point point lies on the given curve .
Substitute and in the main equation , To get
,