Suppose that f is a function given as f(x) = 2x² + 7x - 2. Simplify the expression f(x + h). f(x + h) = Simplify the difference quotient, f(x+h)-f(x) h f(x+h)-f(x) h The derivative of the function at a is the limit of the difference quotient as h approaches zero. f'(x) = lim f(x+h)-f(x) h→0 h

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that f is a function given as f(x) = 2x² + 7x - 2.
Simplify the expression f(x + h).
f(x + h) =
Simplify the difference quotient,
f(x+h)-f(x)
h
f(x+h)-f(x)
h
The derivative of the function at a is the limit of the difference quotient as h approaches zero.
f'(x) = lim
f(x+h)-f(x)
h→0
h
Transcribed Image Text:Suppose that f is a function given as f(x) = 2x² + 7x - 2. Simplify the expression f(x + h). f(x + h) = Simplify the difference quotient, f(x+h)-f(x) h f(x+h)-f(x) h The derivative of the function at a is the limit of the difference quotient as h approaches zero. f'(x) = lim f(x+h)-f(x) h→0 h
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