Question

What is the derivative of `c*(e^x)` where c is a constant?

Answer 1

It is still `c*(e^x)`.

Explanation:

When calculating a derivative, multiplicative constants can always be brought outside of the expression:

`d/dx[c*(e^x)]=c*d/dx[e^x]`

Since `d/dx[e^x]=e^x`, the derivative of the entire function is exactly the same as how it started:

`d/dx[c*(e^x)]=color(blue)(c*(e^x))`