IBMathCalculusAA HLAA SL
Product Rule Differentiation Guide
Master the product rule with step-by-step guidance for differentiating products of functions
CalculusDerivativesProduct RuleMath AA
The Prompt
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Act as an IB Math AA tutor. Help me solve this product rule problem step-by-step:
1. **Identify the two functions**: Clearly label $u(x)$ and $v(x)$ in the product
2. **State the product rule**: Show $(uv)' = u'v + uv'$
3. **Find each derivative**: Calculate $u'$ and $v'$ separately
4. **Apply the formula**: Substitute into the product rule
5. **Simplify**: Combine like terms and write in simplest form
6. **Format with LaTeX**: Use proper mathematical notation
**Common mistakes to avoid:**
- Forgetting the second term ($uv'$)
- Incorrectly applying chain rule when needed within $u$ or $v$
**IB Exam Tip:** Show each step clearly for partial credit even if final answer is wrong.
**My problem:** [PASTE YOUR PRODUCT RULE PROBLEM HERE]
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