# How do you find the slope of the tangent line to the graph #f(x)=6x# when #x=3#?

I will assume that you are beginning your study of calculus and you want to do this using the definition.

(Later, you'll learn shortcuts, but it is important to understand the reasoning that underlies the shortcuts.)

In this notation the reasoning above looks like this:

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To find the slope of the tangent line to the graph of f(x) = 6x when x = 3, we can use the derivative of the function. The derivative of f(x) = 6x is f'(x) = 6. Therefore, the slope of the tangent line at x = 3 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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