erjkism said:im not even sure if this requires the chain rule... could someone just show me what i need to do because I am really stuck.
The derivative of 1-e^2x is -2e^2x.
The derivative of a constant (in this case, 1) is 0, and the derivative of e^2x is 2e^2x. When 1 is subtracted from e^2x, the derivative becomes -2e^2x.
The negative sign represents a decrease in the value of the function. In this case, the derivative being negative means that the function is decreasing at a certain rate.
The derivative can be used to find the rate of change of a quantity, such as the decay rate of a radioactive substance or the growth rate of a population. It can also be used in physics to find the velocity and acceleration of an object.
No, the derivative can be negative, positive, or zero depending on the value of x. However, for the function 1-e^2x, the derivative will always be negative.