Question

Is `f(x)=e^x-3x` increasing or decreasing at `x=-1`?

Answer 1

Function is decreasing.

Explanation:

To determine the behaviour of the function at a point, we look to the first derivative:

`f'(x) = e^x - 3`

`f'(-1) = e^(-1) - 3 = -2.63` to 2dp

This implies a negative slope so the function is decreasing.