# What is the slope of a line tangent to the curve #3y^2-2x^2=1#?

The slope of the tangent line is

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The slope of a line tangent to the curve 3y^2-2x^2=1 is given by the derivative of the curve with respect to x. Taking the derivative of the equation, we get:

dy/dx = (4x) / (6y)

Therefore, the slope of the line tangent to the curve is (4x) / (6y).

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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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