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Differential Equations question

2017 · Shift 2 · Q31

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JEE Advanced
Mathematics
Differential Equations
2017 · Shift 2 · Q31

Differential Equations question

2017 · Shift 2 · Q31

JEE AdvancedMathematicsDifferential EquationsMultiple correct+4 / −2

If

g(x) = \int_{\sin x}^{\sin (2x)} {{{\sin }^{ - 1}}} (t)\,dt

, then

A
$g'\left( { - {\pi \over 2}} \right) = 0$
B
$g'\left( { - {\pi \over 2}} \right) = - 2\pi$
C
$g'\left( {{\pi \over 2}} \right) = 2\pi$
D
$g'\left( {{\pi \over 2}} \right) = 0$

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