# How do you find the slope of a tangent line to the graph of the function #f(x)= 13 − x^2 # at (3,4)?

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To find the slope of a tangent line to the graph of a function at a specific point, you can use the derivative of the function. The derivative of f(x) is f'(x) = -2x. To find the slope at (3,4), substitute x = 3 into the derivative: f'(3) = -2(3) = -6. Therefore, the slope of the tangent line to the graph of f(x) = 13 - x^2 at (3,4) is -6.

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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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