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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 − log46x−46x+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.
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