Write the equation of the tangent to the graph of the function f (x) = x2-1 at its point with the abscissa x0 = -1.

f (x) = x ^ 2 – 1 at the point x0 = -1;

The formula for the equation of the tangent to the graph of the function looks like:

yk = f (x0) + f ‘(x0) * (x – x0);

1. Find the value of the function at the point x0 = -1:

f (-1) = (-1) ^ 2 – 1 = 0;

2. Find the derivative of the function and calculate its value at the point x0 = -1:

f ‘(x) = (x ^ 2 – 1)’ = 2x;

f ‘(- 1) = 2 * (-1) = -2;

3. Write the equation of the tangent to the graph of the function f (x) = x ^ 2 – 1 at the point x0 = -1:

yk = 0 + (-2) * (x – (-1)) = -2 (x + 1) = -2x – 2.