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rivative of a Quadratic Function g(x)=-2x² +5x-1 g'(x)=-4x+5 h(x)=1.5x? _7 h'(x)=3x j'(x)=-10x+2.5 quadratic functions above, form a hypothesis for the derivative of p(x) = 4x² - 3x + 2. 2x 2 j(x)=-5x² +2.5x-1000 ypothesis from part (a) by now finding the derivative of p(x) using the limit definition.

rivative of a Quadratic Function g(x)=-2x² +5x-1 g'(x)=-4x+5 h(x)=1.5x? _7 h'(x)=3x j'(x)=-10x+2.5 quadratic functions above, form a hypothesis for the derivative of p(x) = 4x² - 3x + 2. 2x 2 j(x)=-5x² +2.5x-1000 ypothesis from part (a) by now finding the derivative of p(x) using the limit definition.

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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Exploring the Derivative of a Quadratic Function f(x)=3x² - 2x g(x)=-2x² +5x-1 g'(x)=-4x+5 h(x)=1.5x? 7 h'(x) = 3x f'(x)=6x-2 a. Based on the quadratic functions above, form a hypothesis for the derivative of p(x) = 4x²-3x + 2. j(x) = -5x² +2.5x-1000 j'(x) =-10x+2.5 b. Check your hypothesis from part (a) by now finding the derivative of p(x) using the limit definition.
Transcribed Image Text:Exploring the Derivative of a Quadratic Function f(x)=3x² - 2x g(x)=-2x² +5x-1 g'(x)=-4x+5 h(x)=1.5x? 7 h'(x) = 3x f'(x)=6x-2 a. Based on the quadratic functions above, form a hypothesis for the derivative of p(x) = 4x²-3x + 2. j(x) = -5x² +2.5x-1000 j'(x) =-10x+2.5 b. Check your hypothesis from part (a) by now finding the derivative of p(x) using the limit definition.
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