Question

Find values of "a" and "b" so that the function has a local maximum at the point (3, 9). Give exact answers. f(x) = axe^(bx)

Answer 1

xe?

Answer 2

We know that we have hit a local minima or maxima whenever the slope of the function is 0.



So:

\[\LARGE 0 = {d\over dx} \left( axe^{bx} \right) \]