Question

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

Answer 1

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