Question

find the maximum or minimum relative point of the function : f(x)=(1-x)e^(2x) ?

Answer 1

Derivative set equal to zero. Take that answer and plug it into the original equation in order to get the y coordinate. Then plug what you got in for the derivative set to zero and plug it into the second derivative. If it is positive, then it is a min and if it is negative, then it is a max.

Answer 2

Just to make sure the derivative of e to the 2x is 2e to the 2x?

Answer 3

e always stays the same so the derivative of e^2x is 2e^2x. You always take the derivative of e^this * the original e^... equation.

Answer 4

ok, thank you so much!