menu
bartleby
search
close search
Hit Return to see all results

Consider the parabola y7x-x.Find the slope of the tangent line to the parabola at the point (1, 6).(b) Find an equation of the tangent line in part (a)(c) Graph the parabola and the tangent line.2020마1010201020-20 10201002010101010201020-20-20-10-20Talk to Tutor

Question
Consider the parabola y
7x-x.
Find the slope of the tangent line to the parabola at the point (1, 6).
(b) Find an equation of the tangent line in part (a)
(c) Graph the parabola and the tangent line.
20
20
마
10
10
20
10
20
-20 10
20
10
0
20
10
10
10
10
20
10
20
-20
-20
-10
-20
Talk to Tutor
help_outline

Image Transcriptionclose

Consider the parabola y 7x-x. Find the slope of the tangent line to the parabola at the point (1, 6). (b) Find an equation of the tangent line in part (a) (c) Graph the parabola and the tangent line. 20 20 마 10 10 20 10 20 -20 10 20 10 0 20 10 10 10 10 20 10 20 -20 -20 -10 -20 Talk to Tutor

fullscreen
check_circleAnswer
Step 1

Given equation of parabola y = 7x-x2

The slope of the tangent line at (x1, y1) is derivative of the given equation  y with respect to x at that given point.

Derivative of given equation with respect to x is shown below.

After substituting x = 1 from point (1,6) we get slope of tangent to parabola at (1,6) is 5

fullscreen
Step 2

The point slope form of a straight line with slope m and point (x1, y1) is shown below. Substituting the slope ...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Calculus

Derivative

Sorry about that. What wasn’t helpful?