If f(x) = sin⁻¹ ((2 × 3ˣ)/(1 + 9ˣ)), then f' (- 1/2) equals:

Limit, Continuity and Differentiability: JEE Main 2018 Mathematics question

JEE Main 2018 · 15 Apr, Evening shift · Q3677

JEE Main 201815 Apr, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

If f(x) = sin⁻¹

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

then f'

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

equals :

JEE Main 2018 · 15 Apr, Evening shift · Q3677

JEE Main 201815 Apr, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

If f(x) = sin⁻¹

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

then f'

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

equals :