jee-main 2024 Q73

jee-main · India · session2_09apr_shift2 Differentiating Transcendental Functions Higher-order or nth derivative computation

If $\log _ { e } y = 3 \sin ^ { - 1 } x$, then $\left( 1 - x ^ { 2 } \right) y ^ { \prime \prime } - x y ^ { \prime }$ at $x = \frac { 1 } { 2 }$ is equal to
(1) $3 e ^ { \pi / 6 }$
(2) $9 e ^ { \pi / 2 }$
(3) $3 e ^ { \pi / 2 }$
(4) $9 e ^ { \pi / 6 }$

If $\log _ { e } y = 3 \sin ^ { - 1 } x$, then $\left( 1 - x ^ { 2 } \right) y ^ { \prime \prime } - x y ^ { \prime }$ at $x = \frac { 1 } { 2 }$ is equal to\\
(1) $3 e ^ { \pi / 6 }$\\
(2) $9 e ^ { \pi / 2 }$\\
(3) $3 e ^ { \pi / 2 }$\\
(4) $9 e ^ { \pi / 6 }$

Paper Questions

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