Mathematics
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OpenStudy (anonymous):
given the function f(x)+x^3+5x^2-x-4, find
a) f'(-2)
b) the values of 'a' such that f'(a)=56
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OpenStudy (anonymous):
My eyes are bad, are you looking for the derivative ?
OpenStudy (anonymous):
For A, plug -2 in x, for B, find the a such that 56 = d/da (a³+5a²-a-4)
OpenStudy (anonymous):
*f=(x)
OpenStudy (anonymous):
ok thanks
OpenStudy (anonymous):
*f = (x) ?
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OpenStudy (anonymous):
56 = a³+5a²-a-4*
OpenStudy (anonymous):
you mean f(a) or f'(a) with ' ?
OpenStudy (anonymous):
sorry *f(x)=, i accidently put "f(x)+" in my question
OpenStudy (anonymous):
f'(a)
OpenStudy (anonymous):
what about b and c? do you put ' on purpose or what? YOu need derivative?
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OpenStudy (anonymous):
Well, in this case, derivative the function. Do you know how to?
OpenStudy (anonymous):
is the derivative of the function 2x^2+10x-1-0?
OpenStudy (anonymous):
and then you plug in f(-2)?
OpenStudy (anonymous):
No. That is not the derivative. Try again.
OpenStudy (anonymous):
Close, it's 3x² + 10x - 1
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OpenStudy (anonymous):
Now plug in -2.
OpenStudy (anonymous):
sorry thats what i was meant to put
OpenStudy (anonymous):
plug in -2 for b.
for c, find x such that 56 = 3x² + 10x - 1
OpenStudy (anonymous):
ok thank you
OpenStudy (anonymous):
Welcome. Do you know what to do?
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OpenStudy (anonymous):
is it 12-20-1
which gives me -9?
OpenStudy (anonymous):
For A, yes.
Do you know how to deal with b?
OpenStudy (anonymous):
just about to do it
OpenStudy (anonymous):
do you solve it to get two answers?
OpenStudy (anonymous):
?
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OpenStudy (anonymous):
answers x=3, x=-19/3 ?