Question

Нужна подробная помощь с производными

Answer 1

1) f'(x) =
$- 7 \times (3x - 4)^{ - 7 - 1} \times 3 = - 21 \times (3x - 4)^{ - 8}$
2) f'(x) =
$- 4 \times (5x - 2)^{ - 4 - 1} \times 5 = - 20 {(5x - 2)}^{ - 5}$
3) f'(x) =
$7 \times {(5x - 7)}^{7 - 1} \times 5 = 35 {(5x - 7)}^{6}$
4)
$- 5 \times ( - 3 - \frac{x}{2} )^{ - 5 - 1} \times ( - \frac{1}{2} ) = \frac{5}{2} \times ( - 3 - \frac{x}{2} )^{ - 6}$
5)
$2 \times (3 - x)^{2 - 1} \times ( - 1) - ( - 6) \times {(4x + 7)}^{ - 6 - 1} \times 4 = - 2(3 - x) + 24 {(4x + 7)}^{ - 7}$
6)
$10 \times {(4 - 1.5x)}^{10 - 1} \times ( - 1.5) = - 15 \times (4 - 1.5x)^{9}$
7)
$13 \times {(5x - 2 {x}^{2}) }^{13 - 1} \times ( - 2 \times 2x) = - 52x {(5x - 2 {x}^{2}) }^{12}$