# What is the slope of the tangent line of #(y/x)e^(x/y)= C #, where C is an arbitrary constant, at #(1,2)#?

slope

obtain the derivative of both sides of the equation

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To find the slope of the tangent line at a point, take the derivative of the function with respect to ( x ) and evaluate it at the given point. So, differentiate ( \frac{y}{x}e^{\frac{x}{y}} = C ) implicitly with respect to ( x ), then substitute ( x = 1 ) and ( y = 2 ) into the derivative.

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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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