Answer :
Answer:
Implicit function
[tex]\frac{d y}{d x} = \frac{-1}{2y}[/tex]
Step-by-step explanation:
Explanation:-
Given y² + x - 3=0 ...(i)
Differentiating equation (i) with respective to 'x', we get
[tex]2 y \frac{d y}{d x} +1 = 0[/tex]
⇒ [tex]2 y \frac{d y}{d x} = -1[/tex]
⇒ [tex]\frac{d y}{d x} = \frac{-1}{2y}[/tex]
[tex]\frac{d y}{d x} = \frac{-1}{2 (3)}[/tex]
[tex]\frac{d y}{d x} = \frac{-1}{6}[/tex]