# How do you find the slope of the graph #f(x)=3x^3-6# at (2,18)?

The value of the slope is

Here we have:

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To find the slope of the graph of ( f(x) = 3x^3 - 6 ) at the point ( (2,18) ), you need to find the derivative of the function and then evaluate it at ( x = 2 ). The derivative of ( f(x) ) is ( f'(x) = 9x^2 ). When ( x = 2 ), ( f'(2) = 9(2)^2 = 36 ). So, the slope of the graph at ( (2,18) ) is ( 36 ).

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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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