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defined by differentiation and integration 
  • a)
    D is linear where T is not linear
  • b)
    D is not linear while T is linear
  • c)
    D and T both are not linear
  • d)
    D and T both are linear 
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
defined by differentiation and integrationa)D is linear where T is not...
D is linear because

1) D(0) =0
2) D(f(x) +g(x)) = D(f(x)) + D(g(x))
3) D(cf(x)) =cD(f(x))

T is linear because


1) T(0) =0
2) T(f(x) +g(x)) = T(f(x)) + T(g(x))
3) T(cf(x)) =cT(f(x))
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defined by differentiation and integrationa)D is linear where T is not linearb)D is not linear while T is linearc)D and T both are not lineard)D and T both are linearCorrect answer is option 'D'. Can you explain this answer?
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