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What is the value of  , if y2 + x2 + 3x + 5 = 0 at (0, -3)?

  1. 1
  2. 1.5
  3. 2
  4. 0.5

Answer (Detailed Solution Below)

Option 4 : 0.5
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Detailed Solution

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Concept:

Chain Rule (Differentiation by substitution): If y is a function of u and u is a function of x

 

Calculation:

Given y2 + x2 + 3x + 5 = 0

Differentiating with respect to x, we get

2y  + 2x +3(1) + 0 = 0

2y + 2x + 3 = 0 

2y  = -(2x + 3)

Now at (0, -3)

 = 0.5

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