Chain Rule Calculator
Calculate derivatives using the chain rule for composite functions
About this calculator
The Chain Rule Calculator simplifies finding derivatives of composite functions by automatically applying the chain rule differentiation technique. This powerful tool handles complex nested functions like f(g(x)) by breaking them down into their component parts and computing the derivative step-by-step. It's essential for calculus students and professionals working with composite functions, saving time on manual calculations while providing detailed solution steps to enhance understanding of the chain rule process.
How to use
Enter your composite function in the input field using standard mathematical notation. The calculator will automatically identify the outer and inner functions, then apply the chain rule formula. Click calculate to see the complete derivative solution with step-by-step working, including intermediate steps and the final simplified result.
Frequently asked questions
What is the chain rule in calculus?
The chain rule is a differentiation technique used to find derivatives of composite functions, expressed as (f∘g)'(x) = f'(g(x)) × g'(x).
Can this calculator handle multiple nested functions?
Yes, the calculator can process complex composite functions with multiple layers of nesting and automatically applies the chain rule recursively.
Does the calculator show step-by-step solutions?
Yes, it provides detailed working showing the identification of inner/outer functions and each step of the chain rule application process.