# What is the implicit derivative of #1= e^y-xcos(xy) #?

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To find the implicit derivative of the equation (1 = e^y - x\cos(xy)), differentiate both sides of the equation with respect to (x) using the chain rule and product rule where necessary. The implicit derivative will be:

[\frac{dy}{dx} = \frac{-e^y(1 - y'x\cos(xy)) + \cos(xy) + xy'\sin(xy)}{e^y + x^2\sin(xy)}]

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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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