Question

Можно с объяснением плиз

Answer 1

используем формулу

$( {frac{u}{v})}^{l} = frac{ {u}^{l} v - {v}^{l}u }{ {v}^{2} }$

${f}^{l} (x) = frac{ {(3x - 4})^{l}(4 + 2x) - {(4 + 2x)}^{l} (3x - 4) }{ {(4 + 2x)}^{2} } = \ = frac{3(4 + 2x) - 2(3x - 4)}{ {(4 + 2x)}^{2} } = frac{12 + 6x - 6x + 8}{ {(4 + 2x)}^{2} } = \ = frac{20}{ {(4 + 2x)}^{2} } \ {f}^{l} (1) = frac{20}{ {(4 + 2 times 1)}^{2} } = frac{20}{36} = frac{5}{9}$