Question

Найти производную f (x)=(2x+1)(x-5) x0= 1

Answer 1

Ответ:

$f'(x) = (2x + 1)'(x - 5) + (x - 5)'(2x + 1) = \\ = 2(x - 5) + 1 \times (2x + 1) = 2x - 10 + 2x + 1 = 4x - 9$

$f'(1) = 4 - 9 = - 5$