# Find #dy/dx# (Implicit differentiation)?

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I don't think I'm doing this right... If anybody could solve it.

#x^2+xy-sqrt(y)=3#

Thank you!

I don't think I'm doing this right... If anybody could solve it.

Thank you!

It is

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To find ( \frac{{dy}}{{dx}} ) using implicit differentiation, follow these steps:

- Differentiate both sides of the given equation with respect to ( x ).
- Treat ( y ) as a function of ( x ) and use the chain rule where necessary.
- Isolate ( \frac{{dy}}{{dx}} ) on one side of the equation.

For example, if you have an equation ( F(x, y) = 0 ), you'd differentiate both sides with respect to ( x ) and solve for ( \frac{{dy}}{{dx}} ) in terms of ( x ) and ( y ).

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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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