Implicit Differentiation Calculator is a free online tool that displays the derivative of the given function with respect to the variable. BYJU’S online Implicit differentiation calculator tool makes the calculations faster, and a derivative of the function is displayed in a fraction of seconds.
How to Use the Implicit Differentiation Calculator?
The procedure to use the implicit Differentiation calculator is as follows:
Step 1: Enter the equation in a given input field
Step 2: Click the button “Submit” to get the derivative of a function
Step 3: The derivative will be displayed in the new window
What is Implicit Differentiation?
In Calculus, sometimes a function may be in implicit form. It means that the function is expressed in terms of both x and y. For example, the implicit form of a circle is x2 + y2 = r2. We know that differentiation is the process of finding the derivative of a function. There are three steps to do implicit differentiation. They are:
Step 1: Differentiate the function with respect to x
Step 2: Collect all dy/dx on one side
Step 3: Finally, solve for dy/dx
Standard Form
The standard form to represent the implicit function is as follows:
f (x,y) = 0
Some of the examples of implicit functions are:
x2 + 4y2 = 0
x2 + y2 + xy = 1
Frequently Asked Questions on Implicit Differentiation Calculator
What is meant by implicit function?
The implicit function is a function where all the dependent and independent variables are kept on one side of the equation.
Why do we use implicit differentiation?
The process called “ implicit differentiation” is used to find the derivative of y with respect to the variable x without solving the given equations for y.
Mention the difference between implicit differentiation and partial differentiation.
In implicit differentiation, all the variables are differentiated. But, in partial differentiation, it involves the process of taking the derivative of one variable by leaving the other variable as constant.