1
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$y=\tan ^{-1}\left(\frac{\sqrt{1+x^2}+\sqrt{1-x^2}}{\sqrt{1+x^2}-\sqrt{1-x^2}}\right)$$, where $$x^2 \leq 1$$. Then, find $$\frac{d y}{d x}$$ is equal to

A
$$\frac{\pi}{4}+\frac{1}{2} \cos ^{-1}\left(x^2\right)$$
B
$$\frac{\pi}{4}-\frac{1}{2} \cos ^{-1}\left(x^2\right)$$
C
$$\frac{-x}{\sqrt{1-x^4}}$$
D
$$\frac{-2 x}{\sqrt{1-x^4}}$$
2
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$\int \frac{d x}{x\left(\sqrt{\left.x^4-1\right)}\right.}=\frac{1}{k} \sec ^{-1}\left(x^k\right)$$, then the value of $$k$$ is equal to

A
1
B
2
C
3
D
4
AP EAPCET Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12