# How do you find the slope of a tangent line to the graph of the function #f(x)=13x-8x^2 # at (-5,-25)?

There is no such thing.

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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 found by taking the derivative of each term separately. In this case, the derivative of 13x is 13, and the derivative of -8x^2 is -16x.

To find the slope at a specific point, substitute the x-coordinate of the point into the derivative. In this case, substitute x = -5 into the derivative -16x.

The slope of the tangent line to the graph of f(x) at (-5,-25) is -16(-5) = 80.

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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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