Techniques of Differentiation - Implicit Differentiation
Techniques of Differentiation - Implicit Differentiation
Secondary 4
Given that \({{e}^{5xy}}+11\tan \left( x \right)={{y}^{2}}\), find an expression of \(\frac{\mathrm{d}y}{\mathrm{d}x}\).
Solution:
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Answer:\(\frac{\mathrm dy}{\mathrm dx}=\frac{5y\mathrm e^{5xy}+11\sec^2x}{2y-5x\mathrm e^{5xy}}\), where \(\cos x\ne0\) and the denominator is nonzero.
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