Question

What is the derivative of `5e^(x)+3`?

Answer 1

`d/dx (5e^x+3)=5e^x`

Explanation:

The derivative of `e^x` is just `e^x`. Multiplied by five, and

`d/dx (5e^x)=5e^x`

Since `3` is a simple constant, its derivative is `0`, as it does not change the gradient of the graph - think about the graph of `y=3` and it has a gradient of `0`.

Therefore,

`d/dx (5e^x+3)=5e^x`