Techniques of Differentiation - Chain Rule

Techniques of Differentiation - Chain Rule

Given that \(y=\frac{m}{{{(1+2x)}^{2}}}\) where \(m\) is a constant. Obtain an expression for \(\frac{\mathrm{d}y}{\mathrm{d}x}\).

Solution:

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Answer:\(\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{4m}{(1+2x)^3},\quad x\ne-\dfrac12\)

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