differentiation

Related Questions

• $\frac{d}{{dx}}\left( {{{\cos }^{ - 1}}\sqrt {\frac{{1 + \cos x}}{2}} } \right) = $

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• The derivative of function $f(x)$ is ${\tan ^4}x$. If $f(0) = 0$ then $\mathop {\lim }\limits_{x \to 0} \frac{{f(x)}}{x}$is equal to

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• If $y=\sin px$ and ${{y}_{n}}$ is the $n^{th}$ derivative of $y$, then $\begin{vmatrix} y&{{y_1}}&{{y_2}}\\ {{y_3}}&{{y_4}}&{{y_5}}\\ {{y_6}}&{{y_7}}&{{y_8}} \end{vmatrix}$ is equal to

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• The value of ‘a’ in order that $f(x)=\sqrt{3}$ $\sin x-\cos x-2ax+b$ decreases for all real values of x, is given by

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• The function $f(x)=1-{{x}^{3}}-{{x}^{5}}$ is decreasing for

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