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AP EAMCET20225 Jul 2022Morning ShiftMathematicsDifferentiationActual

Assertion (A) d d x ( x^2 x x )= x^2 x x ( x+ 2 x - 1 x x ) Reason ( R ) d d x ( u v w )= u v w [ u^ u + v^ v + w^ w ]

Options

  1. AA is true, R is true and R is correct explanation of A
  2. BA is true, R is true and R is not correct explanation of A
  3. CA is true, R is not correct
  4. DA is not correct, R is correct

Correct answer

A. A is true, R is true and R is correct explanation of A

Step-by-step solution

Assertion : d d x ( x^2 x x ) aligned & = ( x) [x^2 x+2 x x ]-x x ( x)^2 & = x^2 x x+2 x x x-x x ( x)^2 aligned = x^2 x x [ x+ 2 x - 1 x x ] Reason : d d x ( u v w )= u w w [ u^ u + v^ v + w^ w ]

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