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![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 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](https://tex.z-dn.net/?f=f%28x%29+%3D+%5Csin%28+%7Bx%7D%5E%7B2%7D+%2B+2%29+%5Ccos%28+%7Bx%7D%5E%7B3%7D+%2B+3+%29++%5C%5C++%5C%5C+f%27%28x%29+%3D++%5Csin%28+%7Bx%7D%5E%7B2%7D++%2B+2%29++%5Ccos%28+%7Bx%7D%5E%7B3%7D+%2B+3+%29+%27+%2B++%5Ccos%28+%7Bx%7D%5E%7B3%7D+%2B+3+%29++%5Csin%28+%7Bx%7D%5E%7B2%7D++%2B+2%29+%27%5C%5C++%5C%5C++f%27%28x%29+%3D++-++%5Csin%28+%7Bx%7D%5E%7B2%7D++%2B+2%29+++%5Csin%28+%7Bx%7D%5E%7B3%7D+%2B+3+%29+%28+%7Bx%7D%5E%7B3%7D+%2B+3%29+%27+%2B++%5Ccos%28+%7Bx%7D%5E%7B3%7D+%2B+3+%29++%5Ccos%28+%7Bx%7D%5E%7B2%7D++%2B+2%29+%28+%7Bx%7D%5E%7B2%7D+%2B+2%29+%27+%5C%5C++%5C%5C++f%27%28x%29+%3D++-++%5Csin%28+%7Bx%7D%5E%7B2%7D++%2B+2%29+++%5Csin%28+%7Bx%7D%5E%7B3%7D+%2B+3+%293+%7Bx%7D%5E%7B2%7D++%2B++%5Ccos%28+%7Bx%7D%5E%7B3%7D+%2B+3+%29++%5Ccos%28+%7Bx%7D%5E%7B2%7D++%2B+2%292x)
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