a. Use the definition mtan lim - h h→0 b. Determine an equation of the tangent line at P. f(x) = √5x +11, P(5,6) to find the slope of the line tangent to the graph off at P. a. mtan = (Simplify your answer. Type an exact answer, using radicals as needed.)

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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Question
f(a+h)-f(a)
h
a. Use the definition mtan= lim
h→0
b. Determine an equation of the tangent line at P.
f(x)=√√5x+11, P(5,6)
=
to find the slope of the line tangent to the graph of f at P.
a. mtan
(Simplify your answer. Type an exact answer, using radicals as needed.)
Transcribed Image Text:f(a+h)-f(a) h a. Use the definition mtan= lim h→0 b. Determine an equation of the tangent line at P. f(x)=√√5x+11, P(5,6) = to find the slope of the line tangent to the graph of f at P. a. mtan (Simplify your answer. Type an exact answer, using radicals as needed.)
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