Implicit Differentiation

Implicit Differentiation

Implicit differentiation is a method that makes use of the chain rule to differentiate implicitly defined functions. It is generally not easy to find the function explicitly and then differentiate. Instead, we can differentiate f (x, y) and then solve the rest of the equation to find the value of . Even when it is possible to explicitly solve the original equation, the formula resulting from total differentiation is, in general, much simpler and easier to use....

Implicit differentiation Formula

Implicit differentiation involves differentiating an implicit equation with respect to the desired variable x, while regarding the other variables as unspecified functions dependent on x....

Solved Example

Example 1: Find the derivative of y = cos (5x – 3y)?...

Conclusion of Implicit Differentiation

Implicit differentiation is a valuable technique used to differentiate implicitly defined functions with respect to a desired variable, typically x. It offers flexibility when explicit expressions for variables are difficult to obtain or when dealing with complex equations involving multiple variables. By treating one variable as a function of another and applying the chain rule, implicit differentiation enables the determination of derivatives even in cases where explicit differentiation is impractical....

Implicit differentiation – FAQs

What is Implicit Differentiation?...