Given the function f(x) = -2x² Find the difference quotient Find f'(x) by determining lim h→0 -4 Find f'(-2) Find f'(0) Find f'(1) Graph the function f(x) = -2x² and draw the tangent lines to the graph at points whose x-coordinates are -2, 0, and 1. (The slopes of these lines should match the derivative values you calculated above.) 10+ 9 8 7 -3 -2 Clear All Draw: -1 6 5 4 f(x+h)-f(x) h 3 2 1 + f(x+h)-f(x) h -2 -3 -4 -S -6 -7 -8 --9+ 10 2
Given the function f(x) = -2x² Find the difference quotient Find f'(x) by determining lim h→0 -4 Find f'(-2) Find f'(0) Find f'(1) Graph the function f(x) = -2x² and draw the tangent lines to the graph at points whose x-coordinates are -2, 0, and 1. (The slopes of these lines should match the derivative values you calculated above.) 10+ 9 8 7 -3 -2 Clear All Draw: -1 6 5 4 f(x+h)-f(x) h 3 2 1 + f(x+h)-f(x) h -2 -3 -4 -S -6 -7 -8 --9+ 10 2
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
Related questions
Question
![Given the function f(x) = 2x²
Find the difference quotient
Find f'(-2)
Find f'(x) by determining lim
Find f'(0)
-4
-3
-2
-
Find f'(1)
Graph the function f(x) = −2x² and draw the tangent lines to the graph at points whose x-coordinates
are -2, 0, and 1. (The slopes of these lines should match the derivative values you calculated above.)
10+
9
8
7
6
5
4
3
2
1
Clear All Draw:
-1
f(x+h)-f(x)
h
-1
-2
-3
0× ૫
f(x +h)-f(x)
h
-4
-5
-6
-7
-8
-9+
^
1
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29f9c049-e4a2-4005-a5d6-aa9835638972%2F2fbaf380-decb-44a6-863c-0bc0c72115e1%2Fy8un4ir_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the function f(x) = 2x²
Find the difference quotient
Find f'(-2)
Find f'(x) by determining lim
Find f'(0)
-4
-3
-2
-
Find f'(1)
Graph the function f(x) = −2x² and draw the tangent lines to the graph at points whose x-coordinates
are -2, 0, and 1. (The slopes of these lines should match the derivative values you calculated above.)
10+
9
8
7
6
5
4
3
2
1
Clear All Draw:
-1
f(x+h)-f(x)
h
-1
-2
-3
0× ૫
f(x +h)-f(x)
h
-4
-5
-6
-7
-8
-9+
^
1
2
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