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MHT CET202312 May 2023Morning ShiftMathematicsDifferentiationActual

The derivative of f ( x) w.r.t. g ( x) at x= 4 where f ^ (1)=2 and g ^ ( 2 )=4 is (A) (B)

Options

  1. A1 2
  2. B2
  3. C1
  4. D0

Correct answer

A. 1 2

Step-by-step solution

array ll & Let p = f ( x) and q = g ( x) & dp d x = f ^ ( x) ^2 x and & dq d x = g ^ ( x) x x & . dp d x |_ x= 4 = f ^ (1) 2=4, & . dq d x |_ x= 4 = g ^ ( 2 ) 2 =4 2 & Required Derivative = ( . dp . dx |_ x= 4 ^ dq |_ s= 4 ^ d )= 4 4 2 = 1 2 array

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