Question

what is the minimum value of f(x)=3xe^x

Answer 1

As x approaches negative infinity, the value of e^x approaches zero and the value of f(x) approaches zero as well. However, since x cannot be negative infinity and f(x) is increasing for x > 0, the minimum value of f(x) occurs at x = 0. Plugging x = 0 into the function, we get:

f(0) = 3(0)e^0 = 0

Therefore, the minimum value of f(x) is 0.