Question

Найдите производную функции f(x) = (7−2х)^4.

Answer 1

$f(x) = {(7 - 2x)}^{4} \\ \frac{df}{dx} = - 2 \times 4 \times {(7 - 2x)}^{3} = \\ = - 8 {(7 - 2x)}^{3}$

Можно упростить ещё:

$- 8 {(7 - 2x)}^{3} = - {2}^{3} (7 - 2x {)}^{3} = - {(14 - 4x)}^{3}$