differentiation

Related Questions

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

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• If x tends 0 to $\pi $, then the given function $f(x)=x\sin x+\cos x+{{\cos }^{2}}x$ is

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• The equation of motion of a particle is given by $s=2{{t}^{3}}-9{{t}^{2}}+12t+1$ ,where s and t are measured in cm and sec. The time when the particle stops momentarily is

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• If $u={{x}^{2}}{{\tan }^{-1}}\frac{y}{x}-{{y}^{2}}{{\tan }^{-1}}\frac{x}{y}$, then $\frac{{{\partial }^{2}}u}{\partial x\,\partial \,y}=$

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• A ladder 5 m in length is resting against vertical wall. The bottom of the ladder is pulled along the ground away from the wall at the rate of $1.5\,m/\sec $ . The length of the highest point of the ladder when the foot of the ladder $4.0\,m$ away from the wall decreases at the rate of

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