# How do you find the slope of the tangent line to the graph of the function #f(x)=x^2-4# at (1,-3)?

See explanation.

Here we have:

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To find the slope of the tangent line at a given point on the graph of a function ( f(x) ), you can use the derivative of the function evaluated at that point.

- Find the derivative of the function ( f(x) ) using the power rule: ( f'(x) = 2x ).
- Evaluate the derivative at ( x = 1 ) to find the slope of the tangent line at the point (1, -3): ( f'(1) = 2(1) = 2 ).

Therefore, the slope of the tangent line to the graph of ( f(x) = x^2 - 4 ) at the point (1, -3) is 2.

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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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