Question

Solve x for 0=xe^(2x)

Answer 1

The only time f(x)=0 is when x=0, because there is no value of x that will make e^2x=0.

Answer 2

I was thinking of using ln, but then i remember ln0 not right

Answer 3

If A * B = 0 either A is 0 or B is 0.

Answer 4

\[e ^{2x}>0 (always)\]
so only solution is x=0

Answer 5

@NotTim You are right. ln is not defined for x=0.

Answer 6

Somewhat unrelated, but the derivative is 2x(x)e^(2x)+e^2x, correct?

Answer 7

Sorry, that should be ln is not defined for\[x \le 0\]

Answer 8

2xe^(2x)+e^2x = e^(2x)(2x + 1)