y=log{e^(x)((x-2)/(x+2))^(3/4)}

for x^(2) - 4 ne 0 , the value of (d)/(dx)[log{e^(x) ((x - 2)/(x+2))^(3//4)}]at x = 3 is

y=log[e^(3x)*((x-4)/(x+3))^(2/3)], find (dy)/(dx)

If y=log_(e)((x)/(a+bx))^(x), then x^(3)y_(2)=

if y=log(e^(2x)+sqrt(1+e^(4x))) and y_(1)sqrt(1+e^(4x))=me^(mx) then m=

The domain of the function f(x)=(log_(e)(log_((1)/(2))|x-3|))/(x^(2)-4x+3) is

Integrate w.r.t x,x log x(A)(1)/(4)x^(2)log((x^(2))/(e))+k(B)(1)/(2)x^(2)log((x^(2))/(e))+k (C) (1)/(4)x^(2)log((x)/(e))+k(D) NONE

Let y(x) is the solution of differential equation (dy)/(dx)+y=x log x and 2y(2)=log_(e)4-1 Then y(e) is equal to (A) (e^(2))/(2) (B) (e)/(2)(C)(e)/(4)(D)(e^(2))/(4)