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Differentiation question

2018 · 15 Apr · Shift 2 · Q42

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PYQ Library
JEE Main
Mathematics
Differentiation
2018 · 15 Apr · Shift 2 · Q42

Differentiation question

2018 · 15 Apr · Shift 2 · Q42

JEE MainMathematicsDifferentiationMCQ+4 / −1

If f(x) = sin-1

\left( {{{2 \times {3^x}} \over {1 + {9^x}}}} \right),

then f'

\left( { - {1 \over 2}} \right)

equals :

A
$- \sqrt 3 {\log _e}\sqrt 3$
B
$\sqrt 3 {\log _e}\sqrt 3$
C
$- \sqrt 3 {\log _e}\, 3$
D
$\sqrt 3 {\log _e}\, 3$

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