Implicit Differentiation Basic Practice

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What is implicit differentiation?

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Implicit differentiation is a technique used to differentiate equations where the dependent and independent variables are not separated. It allows us to find the derivative of a function defined implicitly by an equation.

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How do you differentiate an equation implicitly?

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To differentiate an equation implicitly, apply the derivative to both sides of the equation with respect to the independent variable, treating the dependent variable as a function of the independent variable. Use the chain rule when differentiating terms involving the dependent variable.

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What is the chain rule in differentiation?

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What is the derivative of a constant?

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The derivative of a constant is zero. This means that if a term does not change with respect to the variable, its derivative is zero.

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The negative sign indicates that as x increases, y decreases, showing an inverse relationship between the two variables.