To find:
The equation of the tangent and parallel to the line
Answer to Problem 55E
The equation of the both line is
Explanation of Solution
Given:
The tangent to the curve
Parallel to the line
Concept used:
The equation is in slope −intercept form,
An equation for the line through the point
Calculation:
The function
The derivative of a function
Differentiating the equation (1) with respect to
The derivative is slope of the tangent line so in order to the slope of the tangent line
The derivative of constant is zero
The equation is in slope −intercept form
The slope of the line is
From equation (2) and equation (3)
The coordinates of points
An equation for the line through the point
Chapter 3 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition