Evaluate f(x+h)-f(x)/h and simplify if f(x)=x^2-2x ...?

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21-11-2016
Mathematics

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Evaluate f(x+h)-f(x)/h and simplify if f(x)=x^2-2x ...?

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HomertheGenius HomertheGenius · Answer 1 · 2016-11-22T21:47:16+01:00

HomertheGenius HomertheGenius

22-11-2016

[tex] \frac{f(x+h)-f(x)}{h}= \\ = \frac{(x+h) ^{2}-2(x+h)-( x^{2} -2x) }{h}= \\ = \frac{ x^{2} +2hx+ h^{2}-2x-2h+2x }{h}= \\ = \frac{2hx+ h^{2}-2h }{h}= \\ = \frac{h(2x+h-2)}{h}= [/tex]
= 2 x + h - 2

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