2024 SAJC H1 Q2
2024 SAJC H1 Q2
6 marks
- Differentiate \(3\mathrm{e}^{2x} + \frac{2x + 1}{3x^3}\) with respect to \(x\).[3]
- Find \(\displaystyle\int \left( \frac{1}{3x} - \frac{3}{\sqrt{x}} \right)^2 \, \mathrm{d}x\).[3]
Solution:
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Answer:(a) \(6e^{2x}-\frac4{3x^3}-\frac1{x^4}\), \(x\ne0\). (b) \(-\frac1{9x}+\frac4{\sqrt x}+9\ln x+C\), \(x>0\).
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