Question

Is `f(x)=-2x^3-5x^2-6x-1` increasing or decreasing at `x=1`?

Answer 1

DECREASING

Explanation:

The given function `f(x) = -2x^3- 5x^2 - 6x-1` at `x=1`

take the first derivative and then evaluate it at `x=1`

`f' (x)= -6x^2-10x-6`

at `x=1`

`f' (1)=-6(1)^2-10(1)-6`

`f' (1)=-6-10-6`

`f' (1) = -22` Negative sign means DECREASING