Question

производная неявной функции
(y^2)/4-(x^2)/9=1
Найти y'(0)

Answer 1

$(frac{ {y}^{2} }{4})' : - (frac{ {x}^{2} }{9})'= (1)' \ frac{2y}{4} y' - frac{2x}{9} = 0 \y' = frac{2x}{9} div frac{y}{2} \ y' = frac{4x}{9y} \ y'(0) = frac{4 times 0}{9y} = 0$