osula9a

2021-12-11

Please, evaluate and simplify different quotients:

sirpsta3u

Beginner2021-12-12Added 42 answers

The first one:

$\frac{f(x+h)-f\left(x\right)}{h}=\frac{{(x+h)}^{2}-2(x+h)-({x}^{2}-2x)}{h}=\frac{{x}^{2}+{h}^{2}+2xh-2x-2h-{x}^{2}+2x}{h}=\frac{{h}^{2}+2xh-2h}{h}=\frac{2xh+{h}^{2}}{h}-\frac{2h}{h}=2x+h-2$

Gerald Lopez

Beginner2021-12-13Added 29 answers

I did the second:

$f\left(x\right)=4-5x$

$\frac{f(x+h)-f\left(x\right)}{h}=\frac{4-5(x+h)-(4-5x)}{h}=\frac{4-5x+5x-5h-4}{h}=\frac{-5h}{h}=-5$

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