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3. Find the equation of the tangent and normal lines at the given value of x. 4 f(x) = x + - at x = 4

3. Find the equation of the tangent and normal lines at the given value of x. 4 f(x) = x + - at x = 4

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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Find the equation of the tangent and normal lines at the given value of x.
3. Find the equation of the tangent and normal lines at the given value of x. f(x) = x + - at x = 4 Tangent line: Normal line:
Transcribed Image Text:3. Find the equation of the tangent and normal lines at the given value of x. f(x) = x + - at x = 4 Tangent line: Normal line:
Expert Solution
Step 1

Given, fx=x+4x at x=4f4=4+1=5The point is 4,5f'x=1-4x2f'4=34Slope of tangent line is 34Using formula, y-y1=mx-x1y-5=34x-4y=34x+2Thus, equation of tangent line is y=34x+2

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