f(x)=e^2x then derivative isQuestion 1Answera.e^xb.2e^2xc.e^2xd.2

The derivative of the function f(x) = e^(2x) is found using the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

Step 1: Identify the outer function and the inner function. In this case, the outer function is e^x and the inner function is 2x.

Step 2: Find the derivative of the outer function. The derivative of e^x is e^x.

Step 3: Find the derivative of the inner function. The derivative of 2x is 2.

Step 4: Multiply the derivatives from steps 2 and 3 together. So, the derivative of e^(2x) is 2e^(2x).

Therefore, the correct answer is b. 2e^(2x).