graygoat196Lv1
3 Nov 2021
Problem 28
Page 181
Section: 3.1 Derivatives of Polynomials and Exponential Functions
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
3 Nov 2021
Given information
We are given the point .
Step-by-step explanation
Step 1.
To find the slope of the tangent line at a point we first need to find the derivative of the given curve ,
i.e.
Once we have the derivative which tells us the slope of the tangent line at any point along the curve, we plug in our specific point.
At
Finally to find the equation of the tangent line, we use $y=7 x-5$ our slope and the point itself and plug into point-slope form and simplify.
Tangent line: