2012 Promo CJC Q11

2012 Promo CJC Q11

3 marks

Promo

Given that \(y={{\left( 2x+1 \right)}^{x}}\) for \(x>0\), find \(\frac{\mathrm{d}y}{\mathrm{d}x}\).[3]

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Answer:\((2x+1)^x\left(\frac{2x}{2x+1}+\ln(2x+1)\right)\)

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