Suppose that f is a function given as f(x) = - x² +x – 2. Simplify the expression f(r + h). f(x + h) = f(x + h) – f(x) Simplify the difference quotient, h f(x + h) – f(x) h The derivative of the function at r is the limit of the difference quotient as h approaches zero. f(x + h) – f(x) f'(x) = lim h0 h
Suppose that f is a function given as f(x) = - x² +x – 2. Simplify the expression f(r + h). f(x + h) = f(x + h) – f(x) Simplify the difference quotient, h f(x + h) – f(x) h The derivative of the function at r is the limit of the difference quotient as h approaches zero. f(x + h) – f(x) f'(x) = lim h0 h
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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Transcribed Image Text:Suppose that f is a function given as f(x) = - x² +x – 2.
Simplify the expression f(r + h).
f(x + h) =
f(x + h) – f(x)
Simplify the difference quotient,
h
f(x + h) – f(x)
h
The derivative of the function at r is the limit of the difference quotient as h approaches zero.
f(x + h) – f(x)
f'(x) = lim
h0
h
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