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MHT CET20243 May 2024Morning ShiftMathematicsDifferentiationActual

If y= [ e ^ 5 x ( 3 x-4 x+5 )^ 4 3 ] , then d y ~d x is equal to

Options

  1. A5+ 4 3 x-4 - 4 3(x+5)
  2. B5+ 4 3(3 x-4) - 4 3(x+5)
  3. C5 x+ 4 3 x-4 - 4 3(x+5)
  4. D5+ 12 3 x-4 - 4 (x+5)

Correct answer

A. 5+ 4 3 x-4 - 4 3(x+5)

Step-by-step solution

aligned y & = [ e ^ 5 x ( 3 x-4 x+5 )^ 4 3 ] y & =5 x e + 4 3 (3 x-4)- 4 3 (x+5) d y ~d x & =5+ 4 3(3 x-4) 3- 4 3(x+5) 1 & =5+ 4 (3 x-4) - 4 3(x+5) aligned

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