Techniques of Differentiation - Differentiation of Parametric Equations
Techniques of Differentiation - Differentiation of Parametric Equations
Given that \(x = e^{t}\cos t\) and \(y = e^{t}\sin t\), show that \(\frac{\mathrm{d}y}{\mathrm{d}x} = \tan \left(t + \frac{\pi}{4}\right)\).
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Answer:\(\frac{\mathrm dy}{\mathrm dx}=\tan\left(t+\frac\pi4\right)\)
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