differentiation

Related Questions

• If $y={{\sin }^{-1}}\frac{2x}{1+{{x}^{2}}}+{{\sec }^{-1}}\frac{1+{{x}^{2}}}{1-{{x}^{2}}}$, then $\frac{dy}{dx}$=

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• A particle is moving on a straight line, where its position s (in metre) is a function of time t (in seconds) given by $s=a{{t}^{2}}+bt+6,t\ge 0$ . If it is known that the particle comes to rest after 4 seconds at a distance of 16 metre from the starting position $(t=0)$ , then the retardation in its motion is

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• 20 is divided into two parts so that product of cube of one quantity and square of the other quantity is maximum. The parts are

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• If for a function $f(x),f'(a)=0,f''(a)=0$ , ${{f}''}'(a)>0$ , then at $x=a$ , $f(x)$ is

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• The function $\sin x(1+\cos x)$ at $x=\frac{\pi }{3}$ , is

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