Question

Is `f(x)=4x-e^(x+2)` increasing or decreasing at `x=-1`?

Answer 1

`f(x)` is increasing at `x=-1`

Explanation:

To check if the function is increasing or decreasing at a certain point we have to find the first derivative at this point .

Let us find `f'(x)`:

`f'(x)=4-e^(x+2)`
`f'(-1)=4-e^(-1+2)`
`f'(-1)=4-e`
`f'(-1)=1.29`

`f'(-1)>0`
So, `f(x)` is increasing at `x=-1`