Find values of a and b so that the function has a local maximum at the point (12, 36).

f(x) = axe^(bx)

I really am just confused on how to do this.

Thanks in advance,

Tyler

- October 22nd 2009, 10:18 PMLatszerFind values of a and b so that the function has a local maximum
Find values of a and b so that the function has a local maximum at the point (12, 36).

f(x) = axe^(bx)

I really am just confused on how to do this.

Thanks in advance,

Tyler - October 22nd 2009, 10:59 PMcalum
First, derive the function:

Now, for stationary points, the derivative must equal 0.

So

Since can never equal 0, we must have

For the stationary point to be at 12, we must have

Going back to the original function, we must now have: