Questions in differentiation

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The differential coefficient of the function $|x - 1| + |x - 3|$ at the point $x = 2$ is
If $x = \exp \left\{ {{{\tan }^{ - 1}}\left( {\frac{{y - {x^2}}}{{{x^2}}}} \right)} \right\}\,\,$, then $\frac{{dy}}{{dx}}$ equals
If $f(x) = \sqrt {ax} + \frac{{{a^2}}}{{\sqrt {ax} }},$ then $f' = $
Derivative of ${x^6} + {6^x}$with respect to x is
If $\sin y + {e^{ - x\,\cos y}} = e,$then $\frac{{dy}}{{dx}}$ at $(1,\pi )$ is
The derivative of $f(x) = 3|2 + x|$ at the point ${x_0} = - 3$ is
Derivative of the function $f(x) = {\log _5}({\log _7}x)$, $x > 7$ is
If $y = {\cot ^{ - 1}}({x^2})$, then $\frac{{dy}}{{dx}}$ is equal to
If $y = \log \tan \sqrt x $then the value of $\frac{{dy}}{{dx}}$ is
If $y = {(\cos {x^2})^2}$then $\frac{{dy}}{{dx}}$is equal to

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