Calculate if
To calculate the derivative of the given equation where y is not explicitly defined in terms of x, we will need to .
Using implicit differentiation, we treat x and y independently while differentiating both sides of the equation with respect to x.
Since y depends on x, the derivative with respect to x of an expression in y will require the rule.
Implicitly take the derivative with respect to x of the right-hand side of the equation, . Use the chain rule and the sum rule where appropriate.
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Implicitly take the derivative with respect to x of the left-hand side of the equation,. Use the chain rule and the product rule where appropriate.
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Substitute appropriately and
to complete the implicit differentiation.
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