Derivat ives of Polynomials and Exponential Functions 81 55. Find the points on the curve y = 2x' + 3x? – 12 + 1 where the tangent is horizontal. 56. For what value of x does the graph of f(x) = e* – 2x have a horizontal tangent? %3D 57. Show that the curve y = 2e* + 3x + 5x' has no tangent 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 15 11:18 AM 11 3/3/2020

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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Question 56 please

Derivat
ives of Polynomials and Exponential Functions
81
55. Find the points on the curve y = 2x' + 3x? – 12 + 1
where the tangent is horizontal.
56. For what value of x does the graph of f(x) = e* – 2x have
a horizontal tangent?
%3D
57. Show that the curve y = 2e* + 3x + 5x' has no tangent
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
15
11:18 AM
11
3/3/2020
Transcribed Image Text:Derivat ives of Polynomials and Exponential Functions 81 55. Find the points on the curve y = 2x' + 3x? – 12 + 1 where the tangent is horizontal. 56. For what value of x does the graph of f(x) = e* – 2x have a horizontal tangent? %3D 57. Show that the curve y = 2e* + 3x + 5x' has no tangent 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 15 11:18 AM 11 3/3/2020
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