differentiation

Related Questions

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

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• If ${{u}^{2}}={{(x-a)}^{2}}+{{(y-b)}^{2}}+{{(z-c)}^{2}}$, then $\sum \frac{{{\partial }^{2}}u}{\partial {{x}^{2}}}=$

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• If ${{f}_{n}}(x)$, ${{g}_{n}}(x)$, ${{h}_{n}}(x),n=1,\,2,\,3$are polynomials in x such that ${{f}_{n}}(a)={{g}_{n}}(a)={{h}_{n}}(a),n=1,2,3$ and $F(x) = \begin{vmatrix} {{f_1}(x)}&{{f_2}(x)}&{{f_3}(x)}\\ {{g_1}(x)}&{{g_2}(x)}&{{g_3}(x)}\\ {{h_1}(x)}&{{h_2}(x)}&{{h_3}(x)} \end{vmatrix}$. Then ${F}'(a)$is equal to

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• If $y = \log {x^x},$then $\frac{{dy}}{{dx}} = $

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• Let $f(x) = {e^x}$, $g(x) = {\sin ^{ - 1}}x$ and $h(x) = f(g(x)),$ then $h'(x)/h(x) = $

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