Derivatives · Basic Rules
Chain Rule
For composite functions: differentiate the outer function evaluated at the inner function, then multiply by the derivative of the inner function.
- 0 variables
- 3 worked examples
- 24 in Derivatives
Worked examples
Find d/dx[sin(x²)].
- Outer: sin(u), derivative: cos(u). Inner: u = x², derivative: 2x
- cos(x²) · 2x = 2x cos(x²)
Answer: 2x cos(x²)
2 more worked examplesPremium
Find d/dx[(3x+1)⁵].
Step-by-step solution locked.
Find d/dx[e^(sin x)].
Step-by-step solution locked.
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Practice
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