The chain rule differentiates a composition of functions by multiplying derivatives along the composition.
What Is Chain Rule?
The chain rule differentiates a composition of functions by multiplying derivatives along the composition.
Examples of Chain Rule
1
d/dx (x²+1)³ = 3(x²+1)²·2x.Formula and Key Points
Formula / rule
d/dx f(g(x))=f′(g(x))g′(x)
- Know the definition and standard notation for Chain Rule.
- Be able to recognise or compute chain rule in a small example.
- Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
Why This Matters in Computer Science
Used in optimization, simulation, graphics, machine learning, control systems and numerical computing.
Related Math Terms
Chain Rule: Frequently Asked Questions
What is Chain Rule?
The chain rule differentiates a composition of functions by multiplying derivatives along the composition.
Why is Chain Rule useful in computer science?
Used in optimization, simulation, graphics, machine learning, control systems and numerical computing.