Question

For what values of the numbers a and b does the function f(x)=axe^(bx^2) have the maximum value f(4)=6.

Answer 1

@AllTehMaffs

Answer 2

.We want f(x) to have a maximum at x = 4 and the maximum value should be 6.

Three conditions will have to be satisfied:
f(4) = 6 (1) because (4,6) is a point on the curve.
f'(4) = 0 (2) for a maximum at x = 4
f''(4) < 0 (3) for a maximum at x = 4

Find f(4), f'(4), f''(4) put it in equations/inequality above and solve for a and b that satisfies ll three conditions.

Answer 3

ok thanks

Answer 4

you are welcome.