Determine the derivative function of y=(-2x-1) at the point x =-1

Answer 1

To determine the derivative of the function $y=-2x-1$ at the point $x=-1$, we first need to find the derivative function.

The function $y=-2x-1$ is a linear function. The derivative of a linear function $y=mx+b$ is the slope $m$. In this case, the slope $m$ is $-2$.

Thus, the derivative function is:

$$\frac{dy}{dx}=-2$$

Since the derivative is constant, the derivative at any point, including $x=-1$, is simply:

$$\frac{dy}{dx}{|}_{x=-1}=-2$$

So, the derivative of $y$ at the point $x=-1$ is $-2$.