differentiation

Related Questions

• 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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• $\frac{d}{dx}\left( {{\tan }^{-1}}\frac{\sqrt{1+{{x}^{2}}}-1}{x} \right)$ is equal to

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• A particle is moving on a straight line, where its position s (in metre) is a function of time t (in seconds) given by $s=a{{t}^{2}}+bt+6,t\ge 0$ . If it is known that the particle comes to rest after 4 seconds at a distance of 16 metre from the starting position $(t=0)$ , then the retardation in its motion is

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• If $f(2) = 4$, $f'(2) = 1$then $\mathop {\lim }\limits_{x \to 2} \frac{{xf(2) - 2f(x)}}{{x - 2}} = $

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• The normal of the curve $x=a(\cos \theta +\theta \sin \theta )$ $y=a(\sin \theta -\theta \cos \theta )$ at any $\theta $ is such that

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