differentiation

Related Questions

• If $y = {\cot ^{ - 1}}\left( {\frac{{1 + x}}{{1 - x}}} \right)$, then $\frac{{dy}}{{dx}} = $

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• $\frac{d}{{dx}}\sqrt {\frac{{1 - \sin 2x}}{{1 + \sin 2x}}} = $

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• A population p(t) of 1000 bacteria introduced into nutrient medium grows according to the relation $p(t)=1000+\frac{1000t}{100+{{t}^{2}}}$ . The maximum size of this bacterial population is

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• For the function $f(x) = {x^2} - 6x + 8,2 \le x \le 4$, the value of x for which $f'(x)$ vanishes, is

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• Let $g(x)$ be the inverse of the function $f(x)$ and $f'(x) = \frac{1}{{1 + {x^3}}}$. Then $g'(x)$ is equal to

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