# What is the slope of the tangent line of #(x-y)^3e^y= C #, where C is an arbitrary constant, at #(-2,1)#?

Given

Also from

A generic point

Calculating

The tangent straight to the point

And for

/(6 e

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To find the slope of the tangent line at a point, we can use the formula for the derivative of the function. Taking the derivative of (x - y)^3e^y with respect to x and then evaluating it at (-2, 1) will give us the slope of the tangent line at that point. After taking the derivative and evaluating it at (-2, 1), the slope of the tangent line is found to be 5.

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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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