What is the derivative of y = u * v by the Product Rule?
Answer and explanation
Correct answer: B. u (dv/dx) + v (du/dx)
- Step 1: The Leibniz product rule states d/dx [uv] = u v' + v u'. Step 2. This equals u (dv/dx) + v (du/dx). Answer: u (dv/dx) + v (du/dx). Why not the others: Product of derivatives is mathematically false; u du/dx mispairs variables; subtraction belongs to quotient rule.
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