Question 2 of 12 Your answer is partially correct. f'(x) = lim h→0 < The function f' defined by the formula f(x+h)-f(x) h is called the derivative of f with respect to x. The domain of f' consists of all x in the domain of f for which the limit exists. f'(x) 10 (a) Use the definition to find f'(x) when f(x) = = > 20 x3 Equation: y (b) Find the tangent line to the graph of f(x) = -20 x + 30 10 = at x = -1. x² X 0

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Question 2 of 12
Your answer is partially correct.
The function f' defined by the formula
f(x+h)-f(x)
h
f'(x) = lim
h→0
<
is called the derivative of ƒ with respect to x. The domain of f'
consists of all x in the domain of f for which the limit exists.
10
(a) Use the definition to find f'(x) when f(x) =
f'(x)
=
20
x3
(b) Find the tangent line to the graph of f(x)
Equation: y
-
-20 x + 30
=
10
x²
X
at x = -1.
0
Transcribed Image Text:Question 2 of 12 Your answer is partially correct. The function f' defined by the formula f(x+h)-f(x) h f'(x) = lim h→0 < is called the derivative of ƒ with respect to x. The domain of f' consists of all x in the domain of f for which the limit exists. 10 (a) Use the definition to find f'(x) when f(x) = f'(x) = 20 x3 (b) Find the tangent line to the graph of f(x) Equation: y - -20 x + 30 = 10 x² X at x = -1. 0
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