Chain Rule of Derivatives

In calculus, the chain rule of derivatives is a method of finding the derivative of a function that is the composition of two functions for which derivatives exist. The rule itself is a direct consequence of differentiation..

Chain Rule in Differentiation Calculator


Enter a function to differentiate:




Rules for specifying input function in Differentiation

1. Use ^ for representing power values.
    Eg:x2=x^2.
2. Use sqrt,*,/,+,- for square root,multiplication,division,addition and subraction operations respectively.
    Eg:1.√x=sqrtx
         2.5x=5*x.
         3.x+5=(x)+5.
         4.x2-5x=(x^2)-(5*x).
3. Use paranthesis() while performing arithmetic operations.
    Eg:1.sinx+cosx+tanx=(sinx)+(cosx)+(tanx)
         2.secx*tanx=(secx)*(tanx)
         3.tanx/sinx=(tanx)/(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. Try out these Sample inputs for practice.
    Eg:1.(x+2)+(x2+9x)=(x+2)+((x^2)+(9*x)).
         2.cos(x3)=(cos(x^3)).
         3.ex+lnx=(e^x)+(lnx).
6. Ensure that the input string is as per the rules specified above.

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The Chain Rule of Derivatives 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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