Question

Срочно 40 баллов найдите производную !!!

Answer 1

Ответ:

к

$y' = 5 \sin {}^{4} (3x) \times \cos(3x) \times 3 \times \cos( \frac{x}{7} ) - \sin( \frac{x}{7} ) \times \frac{1}{7} \times \sin {}^{5} (3x) = \\ = \sin {}^{4} (3x) \times (15 \cos(3x) \cos( \frac{x}{7} ) - \frac{1}{7} \sin( \frac{x}{7} ) \sin(3x))$

л

$y' = ln(7) \times {7}^{arccos7x} \times ( - \frac{1}{ \sqrt{1 - 49 {x}^{2} } } ) \times 7 = \\ = - \frac{ ln(7) \times {7}^{arccos7x + 1} }{ \sqrt{1 - 49 {x}^{2} } }$

м

$y' = \frac{1}{ \frac{ {e}^{x} + e {}^{ - x} }{2} } \times \frac{1}{2} ( {e}^{x} - e {}^{ - x} ) = \\ = \frac{2}{ {e}^{x} + e {}^{ - x} } \times \frac{ {e}^{x} - e {}^{ - x} } {2} = \frac{ {e}^{x} - {e}^{ - x} }{ {e}^{x} + {e}^{ - x} }$