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In this problem, consider the curve y=f(x)= 1 1 + √x (a) The derivative function f'(x) = 1 2√√x (1+√√x)2 (b) Find the point P=(a,f(a)) on the graph where the tangent line at P has y-intercept 1/2: P=( ).

In this problem, consider the curve y=f(x)= 1 1 + √x (a) The derivative function f'(x) = 1 2√√x (1+√√x)2 (b) Find the point P=(a,f(a)) on the graph where the tangent line at P has y-intercept 1/2: P=( ).

Trigonometry (MindTap Course List)
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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In this problem, consider the curve y=f(x)= 1 1 + √x (a) The derivative function f'(x) = 1 2√√x (1+√√x)2 (b) Find the point P=(a,f(a)) on the graph where the tangent line at P has y-intercept 1/2: P=( ).
Transcribed Image Text:In this problem, consider the curve y=f(x)= 1 1 + √x (a) The derivative function f'(x) = 1 2√√x (1+√√x)2 (b) Find the point P=(a,f(a)) on the graph where the tangent line at P has y-intercept 1/2: P=( ).
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