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//welro) Find a local linear approximation for the function 5х + 6 f(x) valid for x near 5 5x + 6 Answer: Hint: The local linear approximation at x = 5 is the tangent line at x = 5. The equation for this tangent line, in slope-intercept form, is у 3 т(х — 5) +b where m f' (5) and b = f(5). So compute m and b, put these into the equation for the tangent line, and then enter the right-hand side of that equation as your answer.

//welro) Find a local linear approximation for the function 5х + 6 f(x) valid for x near 5 5x + 6 Answer: Hint: The local linear approximation at x = 5 is the tangent line at x = 5. The equation for this tangent line, in slope-intercept form, is у 3 т(х — 5) +b where m f' (5) and b = f(5). So compute m and b, put these into the equation for the tangent line, and then enter the right-hand side of that equation as your answer.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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//welro) Find a local linear approximation for the function 5х + 6 f(x) valid for x near 5 5x + 6 Answer: Hint: The local linear approximation at x = 5 is the tangent line at x = 5. The equation for this tangent line, in slope-intercept form, is у 3 т(х — 5) +b where m f' (5) and b = f(5). So compute m and b, put these into the equation for the tangent line, and then enter the right-hand side of that equation as your answer.
Transcribed Image Text://welro) Find a local linear approximation for the function 5х + 6 f(x) valid for x near 5 5x + 6 Answer: Hint: The local linear approximation at x = 5 is the tangent line at x = 5. The equation for this tangent line, in slope-intercept form, is у 3 т(х — 5) +b where m f' (5) and b = f(5). So compute m and b, put these into the equation for the tangent line, and then enter the right-hand side of that equation as your answer.
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