Derivatives · Basic Rules
Product Rule
The derivative of a product: derivative of the first times the second, plus the first times the derivative of the second.
- 0 variables
- 2 worked examples
- 24 in Derivatives
Worked examples
Find d/dx[x² sin x].
- f = x², f' = 2x, g = sin x, g' = cos x
- f'g + fg' = 2x sin x + x² cos x
Answer: 2x sin x + x² cos x
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Find d/dx[eˣ · x].
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Practice
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