Question

Consider the following curve. y = 3x^2 - 7x + 1 Find the slope m of the tangent line at the point (3, 7). m = Find an equation of the tangent line to the curve at the point (3, 7). y =

Name: consider the following curve y 3x2 7x 1 find the slope m of the tangent line at the point 3 7 m find an equation of the tangent line to the curve at the point 3 7 y 60858
Uploaded: 2022-03-02T05:16:12-08:00
Duration: 1 min 46 s
Channel: Tejal S
Description: consider the following curve y 3x2 7x 1 find the slope m of the tangent line at the point 3 7 m find an equation of the tangent line to the curve at the point 3 7 y 60858

          Consider the following curve.
y = 3x^2 - 7x + 1
Find the slope m of the tangent line at the
point (3, 7).
m =
Find an equation of the tangent line to the curve at the
point (3, 7).
y =

Added by Susan E.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Tejal S

03/02/2022

Step 1

Step 1:** Calculate the slope of the tangent line at the point (3, 7) using the derivative of the curve equation: \[ \frac{dy}{dx} = 6x - 7 \] \[ \frac{dy}{dx} \Bigg|_{(3,7)} = 6(3) - 7 = 11 \] ** Show more…

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Consider the following curve. y = 3x^2 - 7x + 1 Find the slope m of the tangent line at the point (3, 7). m = Find an equation of the tangent line to the curve at the point (3, 7). y =