Question

Please help? Finding a and b (Calculus)

Answer 1

\[f(x) = ae^{-x}+bx \]

Find a and b such that the coordinates (1,-2) are a local max

Answer 2

@satellite73

Answer 3

Find a or b such that:
\[f'(1) = 0 \]
Find a or b such that:
\[f(1)= -2\]

Answer 4

\[f'(x)=-ae^{-x}+b\]

\[f'(1)=-ae^{-1}+b\]

\[-b=-ae^{-1}\]
\[be = a\]

Answer 5

So:
\[f(x)=bee^{-x}+bx\]

Let f(x)=-2 and x=1

\[-2 = bee^{-1} + b\]
\[2b = -2\]

\[b= -1\]

Answer 6

\[a = -e\]

Answer 7

Is this right? not sure :/

Answer 8

Yes it is right, good job!

Answer 9

@retirEEd YAHHOOO :D this was a question on my final XD i wasn't sure if i got it right but awesome lol