Derivatives of Polynomials and Exponential Functions 18 55. Find the points on the curve y = 2x'+ 3x - 12x + 1 where the tangent is horizontal. 56. For what value of x does the graph of f(x) = e* – 2x have a horizontal tangent? 57. Show that the curve y = 2e* + 3x + 5x' has no tangent %3D line with slope 2. 58. Find an equation of the tangent line to the curve y = x* + 1 that is parallel to the line 32x - y = 15. %3D 59. Find equations of both lines that are tangent to the curve y = x3 - 3x² + 3x - 3 and are parallel to the line 11:16 AM

Derivatives of Polynomials and Exponential Functions 18 55. Find the points on the curve y = 2x'+ 3x - 12x + 1 where the tangent is horizontal. 56. For what value of x does the graph of f(x) = e* – 2x have a horizontal tangent? 57. Show that the curve y = 2e* + 3x + 5x' has no tangent %3D line with slope 2. 58. Find an equation of the tangent line to the curve y = x* + 1 that is parallel to the line 32x - y = 15. %3D 59. Find equations of both lines that are tangent to the curve y = x3 - 3x² + 3x - 3 and are parallel to the line 11:16 AM

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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