differentiation

Related Questions

• The equation of motion of a stone thrown vertically upward from the surface of a planet is given by $s=10\,\,t-3{{t}^{2}}$ , and the units of s and t are cm and sec respectively. The stone will return to the surface of the planet after

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• If $y = {\cos ^{ - 1}}\cos (|x| - f(x)),$ where $$ $f(x)\left\{ \begin{array}{l} = 1\,,\,{\rm{if}}\,\,\,x > 0\\ = - 1\,,\,{\rm{if}}\,\,\,x < 0\\= 0\,,\,{\rm{if}}\,\,\,x = 0 \end{array} \right.$, then ${\left. {\frac{{dy}}{{dx}}} \right|_{x = \frac{{5\pi }}{4}}}$ is

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• The point of the curve ${{y}^{2}}=2(x-3)$ at which the normal is parallel to the line$y-2x+1=0$ is

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• The motion of stone thrown up vertically is given by $s=13.8t-4.9{{t}^{2}}$ , where s is in metre and t is in seconds. Then its velocity at $t=1$ second is

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• If $y=a\,\,\log x+b{{x}^{2}}+x$ has its extremum value at $x=1$ and $x=2,$ then $(a,b)$ =

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