Question

differentiate w.r.t x cot-1 [cot (ex2)]​

Answer 1

Step-by-step explanation:

As i understand ur question....

$\frac{d}{dx} ( \cot^{ - 1} ( \cot( {e}^{ {x}^{2} } ) )) \\ \\ we \: know \: that \: \\ \cot^{ - 1} ( \cot( {x} )) = x \\ \\</strong><strong> </strong><strong>then</strong><strong> </strong><strong> </strong><strong>\</strong><strong>\</strong><strong> \frac{d}{dx} ( \cot^{ - 1} ( \cot( {e}^{ {x}^{2} } ) )) </strong><strong> = \frac{d}{dx} ({e}^{ {x}^{2} } ) \\ \\ = ( {e}^{ {x}^{2} } ) ( \frac{d}{dx} {x}^{2} ) \\ \\ = ( {e}^{ {x}^{2} } ) (2x) \\ \\ = 2x( {e}^{ {x}^{2} } ) \\ \\ requird \: \: \: ans.. < < < > > >$