Differentiation - Logarithmic Differentiation

Differentiation - Logarithmic Differentiation

Secondary 4

Given that \(y={{x}^{x}}\), find an expression of \(\frac{\mathrm{d}y}{\mathrm{d}x}\).

Solution:

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Answer:\(\dfrac{\mathrm dy}{\mathrm dx}=x^x(\ln x+1)\), for \(x>0\).

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