Answer
$-6x \times csc^{2}\left( 3x^{2}+5\right) $
Work Step by Step
$\dfrac {d}{dx}\cot \left( 3x^{2}+5\right) =-csc^{2}\left( 3x^{2}+5\right) \times \left( \dfrac {d}{dx}\left( 3x^{2}+5\right) \right) =-6xcsc^{2}\left( 3x^{2}+5\right) $
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