Derivative Calculator
English

An online derivative calculator that differentiates a given function with respect to a given variable by using analytical differentiation. A useful mathematical differentiation calculator to simplify the functions.


Rules for Specifying Input Function

1. Use ^ for representing power values.
    Eg: Write input x2 as x^2.

2. Use ^(1/2) for square root ,'*' for multiplication, '/' for division, '+' for addition, '-' for subtraction.
    Eg:1. Write input √x as x^(1/2)
         2. Write 5x as 5*x.
         3. Write x+5 as x+5.
         4. Write x2-5x as x^2-5*x.

3. Use paranthesis() while performing arithmetic operations.
    Eg:1. Write sinx+cosx+tanx as sin(x)+cos(x)+tan(x)
         2. Write secx*tanx as sec(x)*tan(x)
         3. Write tanx/sinx as tan(x)/sin(x)

4. Use inv to specify inverse and ln to specify natural log respectively
    Eg:1. Write sin-1x as asin(x)
         2. Write ln x as ln(x)

5. Sample Inputs for Practice.
    Eg:1. Write (10x+2)+(x2) as 10*x+2+x^2.
         2. Write cos(x3) as cos(x^3).
         3. Write ex+lnx as e^x+ln(x).

6. Ensure that the input string is as per the rules specified above.

An online derivative calculator that differentiates a given function with respect to a given variable by using analytical differentiation. A useful mathematical differentiation calculator to simplify the functions.

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Derivative is the important tool in calculus to find an infinitesimal rate of change of a function with respect to its one of the independent variable. The process of calculating a derivative is called differentiation. Follow the rules mentioned in the above derivative calculator and understand the concept for deriving the given function to differentiate. Make use of this free online derivative calculator to differentiate a function. You can use this derivative calculator to convert functions from one form to another.

Example:

What is the derivative of x4?

Derivative

Here, n = 4
d/dx x(n) = nxn-1
= d/dx (x4) = 4x4-1
= 4x3

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