Product Rule of Derivatives

In calculus, the product rule of derivatives is a method of finding the derivative of a function that is the multiplication of two other functions for which derivatives exist. The product rule in integration follows from it. The rule itself is a direct consequence of differentiation.

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.
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The Product Rule of Derivatives applies to multiply more than two functions. The above Calculator computes a derivative of a given function with respect to a variable x using analytical differentiation. Free online calculator that allows you to dynamically calculate the differential equation.

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