Question

Find a formula for a function of the form y=bxe^−ax with local maximum at (1,2.2073). y=________

Answer 1

From the given values

2.2073 = b*1*e^-a

and y' = be^-a(-a + 1) = 0   giving a = 1

from first equation  2.2073 = b * e^-1 so b = 2.2073e =  6

so our formula is  y = 6x e^-x