differentiation

Related Questions

• 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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• The differential coefficient of ${{\cos }^{-1}}\left\{ \sqrt{\frac{1+x}{2}} \right\}$with respect to x is

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• The real number which most exceeds its cube is

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• The first derivative of the function $\left[ {{{\cos }^{ - 1}}\left( {\sin \sqrt {\frac{{1 + x}}{2}} } \right) + {x^x}} \right]$ with respect to x at x = 1 is

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• The real number x when added to its inverse gives the minimum value of the sum at x equal to

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