# How do you find the slope of a polar curve?

If

If

Therefore

I tested this with the polar curve

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To find the slope of a polar curve, you use the formula:

[ \frac{{dy}}{{dx}} = \frac{{r'(\theta) \sin(\theta) + r(\theta) \cos(\theta)}}{{r'(\theta) \cos(\theta) - r(\theta) \sin(\theta)}} ]

Where ( r'(\theta) ) represents the derivative of the polar function ( r(\theta) ) with respect to ( \theta ).

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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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