Free Online Chain Rule
Differentiate a function with the chain rule: d/dx f(g(x)) = f′(g(x))·g′(x). Everything runs in your browser so your files and text stay on this device.
d/dx [f]
x ^ (-4 / 3) * -1 / 3
- Note
- Power rule — chain rule applies when the base is a composite function
The chain rule handles functions nested inside other functions by multiplying the outer derivative by the inner derivative. Formula: d/dx f(g(x)) = f′(g(x)) g′(x).
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Tasks
Enter a function
Type an expression such as x^(-1/3), sin(x^2), or e^(2x).
Choose the variable
Pick x, y, t, or u under “with respect to”.
Read the derivative
The preview shows d/dx[f]; the result card shows the differentiated expression.
How to use
- Open Chain Rule.
- Enter the function (LaTeX-style x^{-1/3} or x^(-1/3) both work).
- Select the variable and read the derivative (updates as you type).
FAQ
What does Chain Rule do?
Differentiate a function with the chain rule: d/dx f(g(x)) = f′(g(x))·g′(x).
How do I enter a function?
Type an expression such as x^(-1/3), sin(x^2), or e^(2x).
How do I choose the variable?
Pick x, y, t, or u under “with respect to”.
How do I use Chain Rule?
Open Chain Rule. Enter the function (LaTeX-style x^{-1/3} or x^(-1/3) both work). Select the variable and read the derivative (updates as you type).
Is my data private?
Yes. Work stays in your browser. Content is not sent to a server to run the tool.