differentiation

Related Questions

• If ${x^2} + {y^2} = t - \frac{1}{t},$${x^4} + {y^4} = {t^2} + \frac{1}{{{t^2}}}$, then ${x^3}y\frac{{dy}}{{dx}} = $

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• Differential coefficient of ${{x}^{3}}$ with respect to ${{x}^{2}}$ is

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• A ladder is resting with the wall at an angle of ${{30}^{o}}$ . A man is ascending the ladder at the rate of 3 ft/sec. His rate of approaching the wall is

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• If $y = {\tan ^{ - 1}}\left( {\frac{{\sqrt a - \sqrt x }}{{1 + \sqrt {ax} }}} \right)$, then $\frac{{dy}}{{dx}} = $

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• If $f(x) = \,|x|,$then $f'(0) = $

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