Implicit Differentiation

In Differentiation help ,a relation between two variables (say x and y) is given by the equation f(x,y)=0 is such that y depends on x implicitly, then y is called the Implicit function of x. When we find the differential coefficient or derivative of the implicit function then this differentiation is called as Implicit Differentiation.

To find the value of $\frac{dy}{dx}$, when y is an implicit function of x, we differentiate each term of the equation with respect to x and then solve for $\frac{dy}{dx}$.

How to do Implicit Differentiation

  The following examples help us understand how to find the differentiation of implicit functions:- 

Implicit Differentiation Examples

Implicit differentiation is used to find the differential coefficient or application derivative of implicit functions. Since the geometric equations of lines and curves are implicit functions, so implicit differentiation is used to find the Gradient or slope of the lines.

Following examples show this fact :-

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