# What is the slope of the polar curve #f(theta) = theta - sectheta+thetasin^3theta # at #theta = (7pi)/12#?

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To find the slope of the polar curve (f(\theta) = \theta - \sec(\theta) + \theta \sin^3(\theta)) at (\theta = \frac{7\pi}{12}), first compute the derivative of (f(\theta)) with respect to (\theta). Then, evaluate the derivative at (\theta = \frac{7\pi}{12}) to find the slope of the curve at that point.

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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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