For f(x)=√7x+2, find f′(x) using the definition f′(x)=limh→0f(x+h)−f(x)/h. f′(x)= Using this, find the tangent line to the graph of y=√7x+2 at x=1. Enter all values as integers, or fractions in lowest terms. y=

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.
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For f(x)=√7x+2, find f′(x) using the definition f′(x)=limh→0f(x+h)−f(x)/h.

f′(x)=

Using this, find the tangent line to the graph of y=√7x+2 at x=1. Enter all values as integers, or fractions in lowest terms.

y=

Expert Solution
Step 1
  • Equation of the line passing through the points x1,y1 and having slope m is y-y1 =mx-x1.
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