# What is the equation of the line tangent to #f(x)=-x^2 -2x - 1 # at #x=-1#?

As slope can be calculated using derivative and we can also identify coordinates of point using function, we can use point slope form to get equation of tangent.

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The equation of the line tangent to f(x)=-x^2 -2x - 1 at x=-1 is y = -3x - 4.

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