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MHT CET202020 Oct 2020Evening ShiftMathematicsDifferentiationActual

If y= [a^ 3 x ( 5-x x+4 )^ 3 4 ] , then d y d x =

Options

  1. A3+ 3 4(5-x) - 3 4(x+4)
  2. B3 a + 3 4(5-x) - 3 4(x+4)
  3. C3 a - 3 4(5-x) - 3 4(x+4)
  4. D3 a- 3 4(5-x) - 3 4(x+4)

Correct answer

D. 3 a- 3 4(5-x) - 3 4(x+4)

Step-by-step solution

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

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