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Mathematics 19 Online
OpenStudy (anonymous):

Trying to find the slope of a curve at a point: y=x^2-3x-1 at x=0 the formula is lim h-->0 f(a+h)-f(a) all over h

ganeshie8 (ganeshie8):

where wer u stuck ?

OpenStudy (anonymous):

I'm just kind of wondering what the answer was... I got -2 but I wanted to make sure it was right.

OpenStudy (anonymous):

A bit of confirmation if you will

ganeshie8 (ganeshie8):

-2 is not correct, looks u made some mistake in simplifying... check once :)

OpenStudy (anonymous):

ok thank you

OpenStudy (anonymous):

is it -1?

ganeshie8 (ganeshie8):

\(\large \lim \limits_{ h->0} \frac{f(a+h) - f(a)}{h}\) \(\large \lim \limits_{ h->0} \frac{f(0+h) - f(0)}{h}\) \(\large \lim \limits_{ h->0} \frac{f(h) - f(0)}{h}\) \(\large \lim \limits_{ h->0} \frac{h^2-3h-1 - (0^2-3*0 -1 )}{h}\) \(\large \lim \limits_{ h->0} \frac{h^2-3h-1 - (-1 )}{h}\) \(\large \lim \limits_{ h->0} \frac{h^2-3h-1 +1 }{h}\) \(\large \lim \limits_{ h->0} \frac{h^2-3h }{h}\)

ganeshie8 (ganeshie8):

simplify

OpenStudy (anonymous):

-3?

ganeshie8 (ganeshie8):

-3 is \(\large \color{red}{\checkmark}\)

OpenStudy (anonymous):

thank you!!!!!!!

ganeshie8 (ganeshie8):

np :)

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