9. (a) Use the definition of the derivative to find the derivative of function f (z) = 2r2 (b) Find the tangent line equation of function f(x) at point (1,-1). (c) Find the average rate of change of y with respect to x in the interval from × = 5 to x = 6, and the (instantaneous) rate of change of y at x = 5. Upload Choose a File

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 1SE: Can the average rate of change of a function be constant?
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Find the derivative of function.
9. (a) Use the definition of the derivative to find the derivative of function
f (x) = 2x2
(b) Find the tangent line equation of function f(x) at point (1.-1).
(c) Find the average rate of change of y with respect to x in the interval from x = 5 to x = 6, and the
(instantaneous) rate of change of y at X = 5.
Upload
Choose a File
10:21
db 61°F
9/23/
cer
र
Ter
9%6
7.
Y
4.
V
H.
K
2
BLACKSHARK
ALTRIPLE C/
Transcribed Image Text:9. (a) Use the definition of the derivative to find the derivative of function f (x) = 2x2 (b) Find the tangent line equation of function f(x) at point (1.-1). (c) Find the average rate of change of y with respect to x in the interval from x = 5 to x = 6, and the (instantaneous) rate of change of y at X = 5. Upload Choose a File 10:21 db 61°F 9/23/ cer र Ter 9%6 7. Y 4. V H. K 2 BLACKSHARK ALTRIPLE C/
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