Question

Задача 171______________​

Answer 1

a)

$f(x) = 6x^{2} +x-5$

$f'(x) = 12x +1$

$f'(-2) = 12*(-2) +1=-24+1 = -23$

b)

$f(x) = \frac{x}{x^{2} +1}$

$f'(x) =\frac{-x^{2} +1}{(x^{2} +1)^{2} }$

$f'(-2) =\frac{-(-2)^{2} +1}{((-2)^{2} +1)^{2} }=\frac{-4+1}{(4+1)^{2} } =-\frac{3}{25}$