Question

Вычислить производные функций:

Answer 1

$3)y = \frac{3}{2} ( {x}^{3 } - 7x + 4 {)}^{2} \\ y = \frac{3( {x}^{3} - 7x + 4 {)}^{2} }{2} \\ y = \frac{3}{2} \times {g}^{2} \times ( {x}^{3} - 7x + 4) \\ y = \frac{3}{2} \times 2g \times (3 {x}^{2} - 7) \\ y = \frac{3}{2} \times 2( {x }^{3} - 7x + 4)(3 {x}^{2} - 7) \\ y = 9 {x}^{5} - 84 {x}^{3} + 36 {x}^{2} + 147x - 84 \\ 4)y = ln( \frac{3 {x}^{4} - 5 }{3 {x}^{4} + 2} ) \\ y = ln(g) \times ( \frac{3 {x}^{4} - 5}{3 {x}^{4} + 2} ) \\ y = \frac{1}{g} \times \frac{3 \times 4 {x}^{3} \times (3x {}^{4} + 2) - (3 {x}^{4} - 5) \times 3 \times 4 {x}^{3} }{(3 {x}^{4} + 2) {}^{2} } \\ y = \frac{1}{ \frac{3x {}^{4} - 5 }{3 {x}^{4} + 2 } } \times \frac{3 \times 4 {x}^{3} \times (3 {x}^{4} + 2) - (3 {x}^{4} - 5) \times 3 \times 4 {x}^{3} }{(3 {x}^{4} + 2 {)}^{2} } \\ y = \frac{84 {x}^{3} }{9 {x}^{8} - 9 {x}^{4} - 10}$