Implicit Differentiation

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What is Implicit Differentiation?

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Implicit differentiation is a technique used to find the derivative of a function defined implicitly by an equation involving both dependent and independent variables.

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When do we use Implicit Differentiation?

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We use implicit differentiation when it is difficult or impossible to solve for one variable in terms of another, allowing us to differentiate both sides of an equation with respect to the independent variable.

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What is the Chain Rule in the context of Implicit Differentiation?

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The Chain Rule states that if a variable depends on another variable, the derivative of the outer function is multiplied by the derivative of the inner function.

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What is the product rule?

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What is the significance of the implicit function theorem?

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The implicit function theorem provides conditions under which a relation defines a function implicitly, allowing for the differentiation of variables.

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How do you find the second derivative using implicit differentiation?

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