First slide

Derivatives

Question

$If a x^{2} + 2 h x y + b y^{2} + 2 g x + 2 f y + c = 0 then \frac{d y}{d x} =$

Moderate

A

$\frac{a x + h y}{h x + b y}$
B

$\frac{- (a x + h y)}{h x + b y}$
C

$(\frac{a x + h y + g}{h x + b y + f})$
D

$- (\frac{a x + h y + g}{h x + b y + f})$

Solution

$\frac{d y}{d x} = \frac{- (2 a x + 2 h y + 2 g)}{2 h x + 2 b y + 2 f} = \frac{- (a x + h y + g)}{h x + b y + f}$

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