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If \(x\) and \(y\) are connected parametrically by the equations given in $ x = a ( \cos \theta + \theta \sin \theta), y = a ( \sin \theta - \theta \cos \: \theta) $ without eliminating the parameter, Find \(\frac{\large dy}{\large dx}\).

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  • By chain rule we have $\large\frac{dy}{dx}=\frac{dy}{d\theta}$$\times\large\frac{d\theta}{dx}$
Step 1:
Differentiating with respect to $\theta$
Step 2:
Differentiating with respect to $\theta$
Step 3:
answered May 10, 2013 by sreemathi.v

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