What is the derivative of ex2?

Answer 1

It might become easier if you split the problem in half. Since we know that d/dx[f(x)-g(x)] is the same as the derivative of d/dx[f(x)] - d/dx[g(x)], you can rewrite your problem as d/dx(e)- d/dx(2x). (it's common usage to write coefficients in from of variables, but that's just notation). The derivative of e is simply 0 (since e is a constant) and the derivative of 2x is 2.

so d/dx(e-2x)=0-2=-2

Answer 2

If you mean e^(x2), then

the derivative =2e^(x2)