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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

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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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