Maximum value of `f(x)=(lnx)^20.x^30` occurs at `x=-2/3` (b) `x=1` `x=e^(-2/3)` (d) `x=e^(2/3)`

Maximum value of f(x)=(ln x)^(20)*x^(30) occurs at x=-(2)/(3)( b) x=1x=e^(-(2)/(3))( d) x=e^((2)/(3))

Maximum value of f(x)= (x-2)^(2) . (x-3) +1 is

The maximum value of (log x)/(x) is (a) 1 (b) (2)/(e)(c) e (d) (1)/(e)

If f(x)= e^(coscos^-1x^2+tancot^-1 x^2), then minimum value of f(x) is (A) e (B) e^2 (C) e^(2/3 (D) none of these

The value of int_(1)^(e)(1+x^(2)lnx)/(x+x^(2)lnx)dx

If f(x)=|x-1|+|x-2|-|x-3|, then (a) maximum value of f(x) is 3 if x in[2,3] (b) maximum value of f(x) is -3 if x in[1,3] (c) maximum value of f(x) is -3 if x in[1,2] (d) maximum value of f(x) is 3 if x in[1,3]

If f^(prime)(x)=f(x)+int_0^1f(x)dx ,gi v e nf(0)=1, then the value of f((log)_2 2) is (a) 1/(3+e) (b) (5-e)/(3-e) (c) (2+e)/(e-2) (d) none of these

If f^(prime)(x)=f(x)+int_0^1f(x)dx ,gi v e nf(0)=1, then the value of f((log)_e 2) is (a) 1/(3+e) (b) (5-e)/(3-e) (c) (2+e)/(e-2) (d) none of these

If f^(prime)(x)=f(x)+int_0^1f(x)dx ,gi v e nf(0)=1, then the value of f((log)_e 2) is (a) 1/(3+e) (b) (5-e)/(3-e) (c) (2+e)/(e-2) (d) none of these

If f(x)=|x+1|-2|x-1| then (A) maximum value of f(x) is 2 (C) there is f(x)=2. (B) there are two solutions of f(x)=1 (D) there are two solutions of f(x)=3