Derivative – formulas and steps
Key derivative formulas and rules. See examples and start with the AI.
Formulas
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Rules
Product rule
Quotient rule
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Chain rule
(f g)'(x) = f'(g(x))\,g'(x)
Example
Differentiate .
- Use chain rule: , .
- Differentiate the power: , so .
- Simplify: .
FAQ
- How does the chain rule work?
- For a composite function , differentiate the outer function and multiply by the derivative of the inner: .