AP ICET 2015 Paper

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Question : 136 of 200

Marks: +1, -0

\;\;{{d}}/{{d}x}(\cos(3\log_{e}x))=

$\;\;{\sin(3\log_{e}x)}/{x}$
$-3\sin(3\log_{e}x)$
$\;\;{-3\sin(3\log_{e}x)}/{x}$
$\;\;{-\sin(3\log_{e}x)}/{x}$

Solution:

{d}/{dx}(\cos(3\log_{e}x)

=-\sin(3\log_{e}x)⋅{d}/{dx}(3\log_{e}x)

=-\sin(3\log_{e}x)×3{d}/{dx}(\log_{e}x)

=-\sin(3\log_{e}x)×{3}/{x}={-3\sin(3\log_{e}x)}/{x}

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