Product Rule Derivatives Calculator

Use our online product rule derivatives calculator to differentiate the given function based on the product rule of derivatives. Enter a function and submit to know the result.

Product Rule in Differentiation Calculator


Enter a function to differentiate:




Rules for specifying input function in Differentiation

1. Use ^ for representing power values.
    Eg:x3=x^3.
2. Use sqrt for square root operation.
    Eg:√x=sqrtx
3. Use paranthesis() while performing the multiplication operation.
    Eg:secx*sinx=(secx)*(sinx)
4. Use inv,ln,log to specify inverse,natural log and log(with different base values) respectively.
    Eg:1.sin-1x=sininvx
         2.ln x=lnx
         3.log3x=log3x
5. Ensure that the input string is as per the rules specified above.

Use our online product rule derivatives calculator to differentiate the given function based on the product rule of derivatives. Enter a function and submit to know the result.

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The above online Product rule derivatives calculator computes a derivative of a given function with respect to a variable x using analytical differentiation. The rule is applied to the functions that are expressed as the product of two other functions.

Product Rule of Derivatives:
In calculus, the product rule in differentiation is a method of finding the derivative of a function that is the multiplication of two other functions for which derivatives exist. This rule was discovered by Gottfried Leibniz, a German Mathematician. The rule in derivatives is a direct consequence of differentiation.

Product Rule in Differentiation:
The Product rule of derivatives applies to multiply more than two functions. One special case of the product rule is the constant multiple rule, which states that if c is a number and f(x) is a differential function, then cf(x) is also differential, and its derivative is (cf)'(x)=cf'(x). The rule for integration by parts is derived from the product rule. Make use of our free online product rule in differentiation calculator which will dynamically help you to calculate the differential equation.

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