jee-main 2023 Q79

jee-main · India · session2_08apr_shift1 Differentiating Transcendental Functions Higher-order or nth derivative computation

Let $f ( x ) = \frac { \sin x + \cos x - \sqrt { 2 } } { \sin x - \cos x } , x \in [ 0 , \pi ] - \left\{ \frac { \pi } { 4 } \right\}$, then $f \left( \frac { 7 \pi } { 12 } \right) f ^ { \prime \prime } \left( \frac { 7 \pi } { 12 } \right)$ is equal to
(1) $\frac { 2 } { 9 }$
(2) $\frac { - 2 } { 3 }$
(3) $\frac { - 1 } { 3 \sqrt { 3 } }$
(4) $\frac { 2 } { 3 \sqrt { 3 } }$

Let $f ( x ) = \frac { \sin x + \cos x - \sqrt { 2 } } { \sin x - \cos x } , x \in [ 0 , \pi ] - \left\{ \frac { \pi } { 4 } \right\}$, then $f \left( \frac { 7 \pi } { 12 } \right) f ^ { \prime \prime } \left( \frac { 7 \pi } { 12 } \right)$ is equal to\\
(1) $\frac { 2 } { 9 }$\\
(2) $\frac { - 2 } { 3 }$\\
(3) $\frac { - 1 } { 3 \sqrt { 3 } }$\\
(4) $\frac { 2 } { 3 \sqrt { 3 } }$

Paper Questions

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