1. Tardigrade
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  3. Mathematics
  4. Let f ( x )= sin x ; g ( x )= x 2 h ( x )= log e x F ( x )= h [ g ( f ( x ))] then ( d 2 F / dx 2) is equal to -

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Q. Let $f ( x )=\sin x ; g ( x )= x ^2 \& h ( x )=\log _e x \& F ( x )= h [ g ( f ( x ))]$ then $\frac{ d ^2 F }{ dx ^2}$ is equal to -

Continuity and Differentiability

Solution:

Correct answer is (d) $-2 \text{cosec}^2 x$