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AP EAMCET202017 Sep 2020Morning ShiftMathematicsDifferentiationActual

If (y= ⁹⁸(x) ³⁹(x) ), then find ( d y d x )

Options

  1. A( (98 ⁹⁹ x ³⁸ x )+ (39 ⁴⁰ x ⁹⁷ x ) )
  2. B( (99 ⁹⁸ x ³⁹ x )- (40 ³⁹ x ⁹⁸ x ) )
  3. C( (98 ⁹⁹ x ³⁸ x )- (39 ⁴⁰ x ⁹⁷ x ) )
  4. D( .99 ⁹⁸ x ³⁹ x )+ (39 ⁴⁰ x ⁹⁷ x ) )

Correct answer

C. ( (98 ⁹⁹ x ³⁸ x )- (39 ⁴⁰ x ⁹⁷ x ) )

Step-by-step solution

(y= ⁹⁸ x ³⁹ x ) ( aligned & d y d x = ⁹⁸ x 39 ³⁸ x(- x) & + ^ 39 x 98 ⁹⁷ x( x) & =98 ⁹⁷ x ⁴⁰ x-39 ⁹⁹ x ³⁸ x & =98 ⁹⁹ x ³⁸ x-39 ⁴⁰ x ⁹⁷ x aligned )

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