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SIMILAR QUESTIONS

Q1

Let [.] denotes the greatest integer function and f (x) = [tan2x], then:

Q2

 

Let f be a real function satisfying 

          f (x + z) = f (xf (yf (z

for all real xyz . If f (2) = 4 and f’ (0) = 3. Then find f (0) and f’ (2).

Q3

Let h(x) = min.{xx2} for every real number of x. Then:

Q4

Let f : R → R be a function defined by f (x) =  max. {xx3}. The set of all points where (x) is not differentiable is:

Q5

If f (x) = x + tan and g(x) is the inverse of f (x) then g’ (x) is equal to:

Q6

If f (x) is differentiable function and (f (x). g(x)) is differentiable at x = a, then

Q7

 

        

Determine the value of ‘a’ if possible, so that the function is continuous at x = 0.