# What is the slope of the tangent line of #r=(sin^2theta)/(-thetacos^2theta)# at #theta=(pi)/4#?

The slope is

Here is a reference to Tangents with polar coordinates

From the reference, we obtain the following equation:

We are ready to write an equation for the slope, m:

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The slope of the tangent line of ( r = \frac{\sin^2(\theta)}{-\theta \cos^2(\theta)} ) at ( \theta = \frac{\pi}{4} ) is ( -1 ).

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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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