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AP EAMCET202125 Aug 2021Morning ShiftMathematicsDifferentiationActual

If y= (x^ ), z= x , then d y d x is equal to

Options

  1. A- 180 (x^ ) cosec x
  2. B(x^ ) cosec x
  3. C180 (x^ ) cosec x
  4. D180 (x^ ) x

Correct answer

C. 180 (x^ ) cosec x

Step-by-step solution

We have, aligned y & = x^0, z= x y & = x 180 d y d x & = - 180 ( x 180 )=- 180 x^ d z d x & =- x d y d z & = d y d x d z d x = - 180 x^ - x & = 180 (x^ ) cosec x aligned

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