What is derivative of 5e^x?

The derivative of 5e^x is simply 5e^x.

Here's why:

• Constant Multiple Rule: The derivative of a constant times a function is the constant times the derivative of the function. In this case, the constant is 5 and the function is e^x.
• Derivative of e^x: The derivative of e^x is e^x.

Therefore, d/dx (5e^x) = 5 * d/dx (e^x) = 5e^x.