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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
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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
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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 \(\large \color{red}{\checkmark}\)
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OpenStudy (anonymous):
thank you!!!!!!!
ganeshie8 (ganeshie8):
np :)
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