10 cosx sinx+1+.2x2 3. Below is a graph of the curve y 15t 10 5f -10 -5 10 -5t Find the slopes of the tangent lines to the curve at x -5, x 0 and x 5.
10 cosx sinx+1+.2x2 3. Below is a graph of the curve y 15t 10 5f -10 -5 10 -5t Find the slopes of the tangent lines to the curve at x -5, x 0 and x 5.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:3. Below is a graph of the curve y =
10 cosx
sinx+1+.2x2
15
10
-10
10
-5t
Find the slopes of the tangent lines to the curve at x = -5, x 0 and x = 5.
4. Here is a graph of the curve y =
x5 - 5x3 + 4x:
10T
-10
Your friend tells you that the slope of the tangent line to the curve at x = 1 is the same as the
slope of the tangent line to the curve at x = -1. Prove mathematically whether your friend is
right or wrong.
Is the slope of the tangent line to the curve at x = a the same as the slope of the tangent line to
the curve at x = -a for any other values of a? Explain.
![Note: You may NOT use your calculator to calculate derivatives explicitly (for example, with the
nDeriv command or through the graphing calculate menu). If you need to find a derivative, you
must evaluate the derivative algebraically, then you may use your calculator to evaluate this
expression, if necessary.
1. Find the slope of the tangent line to the curve y = x3 – 2x2 +1 at the point 1,0. Find the
equation of that tangent line.
On your calculator, graph both the curve and the tangent line on the same set of axes with
viewing window x: -2,3 , y : [-2,2 . [Show all work, except for anything concerning the graphs
you made on your calculator-they were for your observation only.]
2. Find the slope of the tangent line to the curve y = at the point (, 1). Find the equation
1-x
of that tangent line.
On your calculator, graph both the curve and the tangent line on the same set of axes with
viewing window x : [-1,1 , y : [-2,2 . [Show all work, except for anything concerning the graphs
you made on your calculator-they were for your observation only.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2e50573-b000-490e-892a-bd3af2ad7850%2F0a6700f7-bab7-47eb-8f56-20a6f2924c6f%2Fjtq6bz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Note: You may NOT use your calculator to calculate derivatives explicitly (for example, with the
nDeriv command or through the graphing calculate menu). If you need to find a derivative, you
must evaluate the derivative algebraically, then you may use your calculator to evaluate this
expression, if necessary.
1. Find the slope of the tangent line to the curve y = x3 – 2x2 +1 at the point 1,0. Find the
equation of that tangent line.
On your calculator, graph both the curve and the tangent line on the same set of axes with
viewing window x: -2,3 , y : [-2,2 . [Show all work, except for anything concerning the graphs
you made on your calculator-they were for your observation only.]
2. Find the slope of the tangent line to the curve y = at the point (, 1). Find the equation
1-x
of that tangent line.
On your calculator, graph both the curve and the tangent line on the same set of axes with
viewing window x : [-1,1 , y : [-2,2 . [Show all work, except for anything concerning the graphs
you made on your calculator-they were for your observation only.]
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