# How to find the derivative of 16x^2 + 25y^2 =400 by using the implicit differentiation ?

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To find the derivative of (16x^2 + 25y^2 = 400) using implicit differentiation:

- Differentiate both sides of the equation with respect to (x).
- Apply the chain rule when differentiating terms containing (y).
- Solve for (\frac{dy}{dx}).

[ \frac{d}{dx}(16x^2) + \frac{d}{dx}(25y^2) = \frac{d}{dx}(400) ]

[ 32x + 50yy' = 0 ]

[ 50yy' = -32x ]

[ y' = \frac{-32x}{50y} ]

[ y' = \frac{-16x}{25y} ]

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