# How do you implicitly differentiate #9=e^ysin^2x-cos^2y#?

Take the derivative with respect to

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To implicitly differentiate ( 9 = e^{y}\sin^2(x) - \cos^2(y) ), follow these steps:

- Take the derivative of each term with respect to ( x ).
- Apply the chain rule for ( e^{y} ) and the product rule for ( \sin^2(x) ).
- Treat ( y ) as a function of ( x ) and differentiate accordingly using the chain rule.
- Solve for ( \frac{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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