1
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

If $$y = {\tan ^{ - 1}}\sqrt {{{1 - \sin x} \over {1 + \sin x}}} $$, then the value of $${{dy} \over {dx}}$$ at $$x = {\pi \over 6}$$ is

A
$$-$$ 1/2
B
1/2
C
1
D
$$-$$1
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If x2 + y2 = 4, then $$y{{dy} \over {dx}} + x = $$

A
4
B
0
C
1
D
$$-$$ 1
3
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If $$y = {A \over x} + B{x^2}$$, then $${x^2}{{{d^2}y} \over {d{x^2}}}$$ =

A
2y
B
y2
C
y3
D
y4
4
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

Let $$f(x) = ta{n^{ - 1}}x$$. Then $$f'(x) + f''(x)=0$$, when x is equal to

A
0
B
1
C
i
D
$$-$$ i
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