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MHT CET20239 May 2023Morning ShiftMathematicsDifferentiationActual

The rate of change of x^2+16 with respect to x x-1 at x=5 is

Options

  1. A-80 41
  2. B80 41
  3. C12 5
  4. D-12 5

Correct answer

A. -80 41

Step-by-step solution

aligned & y= x^2+16 & d y ~d x = 2 x 2 x^2+16 & d y ~d x = x x^2+16 ... (i) & Let z = x x-1 & dz d x = (x-1)-x (x-1)^2 & dz d x = -1 (x-1)^2 ... (ii) & ( d y d z )_ x=5 = x x^2+16 -1 (x-1)^2 & = -5 25+16 16= -80 41 & aligned

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