# What is the implicit derivative of #25=cosy/x-x#?

Remember to use the chain rule when differentiating the y-variable ...

Taking the derivative:

hope that helped

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To find the implicit derivative of the equation (25 = \frac{\cos y}{x} - x), differentiate both sides of the equation with respect to (x) using the chain rule and implicit differentiation.

[ \frac{d}{dx}\left(25\right) = \frac{d}{dx}\left(\frac{\cos y}{x} - x\right) ]

This simplifies to:

[ 0 = -\frac{\cos y}{x^2} - 1 ]

To isolate (\frac{dy}{dx}), rearrange the equation:

[ \frac{dy}{dx} = -\frac{x^2}{\cos y} ]

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