# How do you implicitly differentiate #-y= x^3y^2-3x^2y^3-7xy^4 #?

A useful *timesaver* is to use

Now, using the chain and product rules ...

hope that helped

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To implicitly differentiate -y = x^3y^2 - 3x^2y^3 - 7xy^4 with respect to x, apply the product rule and chain rule where necessary:

-1(dy/dx) = 3x^2y^2(dx/dx) + x^3(2y(dy/dx) + 2y^2(dx/dx)) - 3(2x)(xy^3)(dx/dx) - 3x^2(y^3)(dy/dx) - 7y^4(dx/dx)

Simplify and solve for dy/dx.

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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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