Question

derivar:
$f(x) = \sin( {x}^{2} + 2) \cos( {x}^{3} + 3 )$

Answer 1

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Derivando sería

$f(x) = \sin( {x}^{2} + 2) \cos( {x}^{3} + 3 ) \\ \\ f'(x) = \sin( {x}^{2} + 2) \cos( {x}^{3} + 3 ) ' + \cos( {x}^{3} + 3 ) \sin( {x}^{2} + 2) '\\ \\ f'(x) = - \sin( {x}^{2} + 2) \sin( {x}^{3} + 3 ) ( {x}^{3} + 3) ' + \cos( {x}^{3} + 3 ) \cos( {x}^{2} + 2) ( {x}^{2} + 2) ' \\ \\ f'(x) = - \sin( {x}^{2} + 2) \sin( {x}^{3} + 3 )3 {x}^{2} + \cos( {x}^{3} + 3 ) \cos( {x}^{2} + 2)2x$