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,
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First, derive the function:
Now, for stationary points, the derivative must equal 0.
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:
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