differentiation

Related Questions

• 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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• The length of the normal at point ‘t’ of the curve $x=a(t+\sin t),$ $y=a(1-\cos t)$ is

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• Let $f(x) = \begin{vmatrix} {{x^3}}&{\sin x}&{\cos x}\\ 6&{ - 1}&0\\ p&{{p^2}}&{{p^3}} \end{vmatrix}$, where $p$ is a constant. Then $\frac{{{d}^{3}}}{d{{x}^{3}}}\left\{ f(x) \right\}$at $x=0$is

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• If $y = {\sqrt x ^{{{\sqrt x }^{\sqrt x ....\infty }}}}$, then $\frac{{dy}}{{dx}} = $

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• The maximum value of xy when $x+2y=8$ is

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