Difference quotient

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January 21st 2008, 10:24 AM
Amy

Difference quotient

Find the difference quotient and simplify your answer.

$f\left(x \right)={x}^{3}+x,\frac{f\left(x+h \right)-f\left(x \right)}{h},h\neq0$

Thanks
January 21st 2008, 10:30 AM
Krizalid

Quote:

Originally Posted by Amy

$f\left(x \right)={x}^{3}+x$

Then $f(x + h) = (x + h)^3 + (x + h).$

Now substitute and work with it, what do you get?
January 21st 2008, 10:31 AM
colby2152

Quote:

Originally Posted by Amy

Find the difference quotient and simplify your answer.

$f\left(x \right)={x}^{3}+x,\frac{f\left(x+h \right)-f\left(x \right)}{h},h\neq0$

Thanks

Plug and chug Amy!

$\frac{(x+h)^3+x+h-x^3-x}{h}=???$
January 21st 2008, 08:50 PM
Amy

O.K, O.K . I got Colby:)

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