Question

Дано
U(x0) =4 U'(x0) =-5
V(x0)=-5 V'(x0) =-3
F(x)=U(x)/V(x)=?

Answer 1

$u(x_0)=4; ; ,; ; u'(x_0)=-5\\v(x_0)=-5; ; ,; ; v'(x_0)=-3\\\f(x)=dfrac{u(x)}{v(x)}; ; ,; ; f'(x)=dfrac{u'(x)cdot v(x)-u(x)cdot v'(x)}{v^2(x)}\\\f'(x_0)=dfrac{-5cdot (-5)-4cdot (-3)}{(-5)^2}=dfrac{25+12}{25}=dfrac{37}{25}=1,48$