iran-konkur 2014 Q112

iran-konkur · Other · konkur-riazi_1393 Chain Rule Chain Rule with Composition of Explicit Functions
112. The derivative of the function $y = \cos^2(\tan^{-1}x)$, at $x = 1$, is which of the following?
(1) $-\dfrac{1}{2}$ (2) $-\dfrac{1}{4}$ (3) $\dfrac{1}{4}$ (4) $1$
\textbf{112.} The derivative of the function $y = \cos^2(\tan^{-1}x)$, at $x = 1$, is which of the following?

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(1) $-\dfrac{1}{2}$ \hfill (2) $-\dfrac{1}{4}$ \hfill (3) $\dfrac{1}{4}$ \hfill (4) $1$

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