# What is the equation of the line tangent to #f(x)=-x^2 -2x - 1 # at #x=7#?

Equation of tangent is

Then the tangent using point slope form is

Hence equation of tangent is

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The equation of the line tangent to f(x)=-x^2 -2x - 1 at x=7 is y = -16x + 113.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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