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If 3x + 3y = 3x + y, then find .

  1. 0
  2. 3x-y

Answer (Detailed Solution Below)

Option 3 :
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Detailed Solution

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Concept:

Calculus:

  • .
  •  

Chain Rule of Derivatives:

  • .


Calculation:

Given expression is:

3x + 3y = 3x + y.

Differentiating w.r.t. x and using the chain rule of derivatives, we get:

⇒ 3x (log 3) + 3y (log 3)  = 3x + y (log 3) (1 + )

⇒ 3x + 3y  = 3x + y + 3x + y 

⇒ 

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