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NDA2021MathematicsDifferentiationActual

If x=e^t t and y=e^t t , then what is d x d y at t=0 equal to?

Options

  1. A0
  2. B1
  3. C2 e
  4. D-1

Correct answer

B. 1

Step-by-step solution

aligned & x=e^t t d x d t =e^t t-e^t t & y=e^t t d y d t =e^t t+e^t t aligned d x d y = d x d t d y d t = e^t( t- t) e^t( t+ t) = t- t t+ t . d x d y |_ t=0 = 0- 0 0+ 0 = 1-0 0+1 =1 .

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