Question

Найдите производную, пожалуйста

Answer 1

$g'(x) = \frac{( {x}^{7.2} + {x}^{2.7})' \times {x}^{4.5} - ( {x}^{7.2} + {x}^{2.7} )( {x}^{4.5}) '}{( {x}^{4.5})^{2} } = \frac{(7.2 {x}^{6.2} + 2.7 {x}^{1.7}) {x}^{4.5} - 4.5 {x}^{3.5} ( {x}^{7.2} + {x}^{2.7}) }{ {x}^{4.5 \times 2} } = \frac{7.2 {x}^{10.7} + 2.7 {x}^{6.2} - 4.5 {x}^{10.7} - 4.5 {x}^{6.2} }{ {x}^{9} } = \frac{2.7 {x}^{10.7} - 1.8 {x}^{6.2} }{ {x}^{9} } = 2.7 {x}^{1.7} - \frac{1.8}{ {x}^{2.8} } \\ g'(1) = 2.7 - 1.8 = 0.9$