Suppose the curve y=f(x) has a tangent line y=4x-5 at x=1. Consider the function g(x)=2f(x)+x+1 What is the slope of the tangent line to g(x) at x=1?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Question
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Suppose the curve y=f(x) has a tangent line y=4x-5 at x=1. Consider the function g(x)=2f(x)+x+1.
What is the slope of the tangent line to g(x) at x=1?
(Your answer should be an integer.)
Transcribed Image Text:Suppose the curve y=f(x) has a tangent line y=4x-5 at x=1. Consider the function g(x)=2f(x)+x+1. What is the slope of the tangent line to g(x) at x=1? (Your answer should be an integer.)
Complete the following sentence:
The equation of the tangent line to the curve y=2vx+1 at x= is y=mx+b, where m=
and b=
(You answers should be integers or reduced fractions.)
Transcribed Image Text:Complete the following sentence: The equation of the tangent line to the curve y=2vx+1 at x= is y=mx+b, where m= and b= (You answers should be integers or reduced fractions.)
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