# What is the slope of the tangent line of #r=2theta+3cos((theta)/2-(2pi)/3)# at #theta=(3pi)/4#?

the slope of the tangent is

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To find the slope of the tangent line of the polar curve (r = 2\theta + 3\cos\left(\frac{\theta}{2} - \frac{2\pi}{3}\right)) at (\theta = \frac{3\pi}{4}), follow these steps:

- Find the derivative of (r) with respect to (\theta) using the chain rule.
- Evaluate the derivative at (\theta = \frac{3\pi}{4}) to find the slope of the tangent line at that point.

After calculating the derivative and substituting (\theta = \frac{3\pi}{4}), you'll get the slope of the tangent line.

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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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