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1.Differentiate f (x) = xx + xa + ax + aa , for some fixed a > 0 . 2.Find the domain of the function f (x) = log3 − log4 6x−4 6x+5 . 3.Find the domain of the function y = f (x) given by ax + ay = a, when (i) 0 1. 4.Find the range of the function y = log3 (5 + 4x − x2 ) 5.If limx→0 (cos x + a sin bx)1/x = e2 . Prove that ab = 2.

   1.Differentiate f (x) = xx + xa + ax + aa , for some fixed a > 0 .


   2.Find the domain of the function f (x) = log3 − log4
6x−4
6x+5
.


   3.Find the domain of the function y = f (x) given by ax + ay = a, when
(i) 0 < a < 1. (ii) a > 1.


  4.Find the range of the function y = log3 (5 + 4x − x2 )
  5.If limx→0 (cos x + a sin bx)1/x = e2 . Prove that ab = 2.


Grade:11

1 Answers

Sunil Raikwar
askIITians Faculty 45 Points
7 years ago

please check the attached file

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