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Let f (x)=x^3+px^2+qx. Find the values of p and q so that f (-1)=8 and f'(-1)=12
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replace \(x\) by \(-1\) get an equation in \(p\) and\(q\)
take the derivative, replace \(x\) by \(-1\) get another equation in \(p\) and \(q\) then solve the system of equations
f (x)=x^3+px^2+qx. Find the values of p and q so that f (-1)=8 and f'(-1)=12 f(-1)=8 \[\left( -1 \right)^{3}+p \times \left( -1 \right) ^{2}+q \times \left( -1 \right)=8\]
the first equation is \[-1+p-q=8\] or \[p-q=9\] i will let you find the second one
-1+p-q=8
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3-2p+q=12?
f(-1) =8 f(-1)= 12 the problem is wrong
both times you typed f(-1), verify
Second one was sipped to be f'(-1)=12
Dealing with derivatives on the first degree
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