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Suppose that ƒ is a function given as f(x) = −x² + 5x − 3. Simplify the expression f(x + h). f(x+h) = x²- 2xh - h²+5x+5h-31 05 - Simplify the difference quotient, f(x + h) − f(x) - = h f(x + h) − f(x) - h

Suppose that ƒ is a function given as f(x) = −x² + 5x − 3. Simplify the expression f(x + h). f(x+h) = x²- 2xh - h²+5x+5h-31 05 - Simplify the difference quotient, f(x + h) − f(x) - = h f(x + h) − f(x) - h

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 16CR
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Question
Suppose that f is a function given as f(x) = x² + 5x - 3. Simplify the expression f(x + h). f(x+h) = x². - 2xh h² +5x+5h30 f(x + h) − f(x) Simplify the difference quotient, h f(x + h) − f(x) = h The derivative of the function at x is the limit of the difference quotient as h approaches zero. f'(x) =lim h→0 f(x + h) − f(x) h
Transcribed Image Text:Suppose that f is a function given as f(x) = x² + 5x - 3. Simplify the expression f(x + h). f(x+h) = x². - 2xh h² +5x+5h30 f(x + h) − f(x) Simplify the difference quotient, h f(x + h) − f(x) = h The derivative of the function at x is the limit of the difference quotient as h approaches zero. f'(x) =lim h→0 f(x + h) − f(x) h
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