differentiation

Related Questions

• If $y = \frac{1}{4}{u^4},u = \frac{2}{3}{x^3} + 5$, then $\frac{{dy}}{{dx}} = $

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• A particle moves along a straight line so that its distance s in time t sec is $s=t+6{{t}^{2}}-{{t}^{3}}$ . After what time is the acceleration zero

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• $\frac{d}{{dx}}\{ {e^{ - a{x^2}}}\log (\sin x)\} = $

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• If $u={{\tan }^{-1}}\left( \frac{{{x}^{3}}+{{y}^{3}}}{x-y} \right)$, then $x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}=$

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• If $f(x)$ is a differentiable function and ${f}''(0)=a$ then $\underset{x\to 0}{\mathop{\lim }}\,\frac{2f(x)-3f(2x)+f(4x)}{{{x}^{2}}}$ is

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