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This is a short Quiz on 12 – Continuity and Differentiability
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Question 1 of 3
1. Question
$$
\text { The derivative of } f(\tan x) \text { w.r.t. } g(\sec x) \text { at } x=\frac{\pi}{4}, \text { where } f^{\prime}(1)=2 \text { and } g^{\prime}(\sqrt{2})=4, \text { is }
$$Correct
Incorrect
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Question 2 of 3
2. Question
$$
\begin{aligned}
&\text { The derivative of } \cos ^{-1}\left(\frac{1-x^{2}}{1+x^{2}}\right) \text { with respect to }\cot ^{-1}\left(\frac{1-3 x^{2}}{3 x-x^{3}}\right) \text { is }
\end{aligned}
$$Correct
Incorrect
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Question 3 of 3
3. Question
$$
\begin{aligned}
&\text { The derivative of }\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) \text { with respect to } \tan ^{-1}\left(\frac{2 x}{1-x^{2}}\right) \text { is }
\end{aligned}
$$Correct
Incorrect