sqrt((xy)f(x))(tan x)/(x)log((e^(x))/(x^(x)))

y = (tan x) / (x) log_ (e) ((e ^ (x)) / (x ^ (x)))

e^(tan^(-1)x)log(tan x)

(d)/(dx)[tan^(-1)((log(ex))/(log(e//x)))]=(1)/(xf(x))," then "f(x)=

If f(x)=(tan((pi)/(4)+log_(e)x))^(log_(x)e) is to be made continuous at x=1, then what is the value of f(1)?

let f(x)=(ln(x^(2)+e^(x)))/(ln(x^(4)+e^(2x))) then lim_(x rarr oo)f(x) is

Which of the following function is (are) even, odd, or neither? f(x)=x^2sinx f(x)=sqrt(1+x+x^2)-sqrt(1-x+x^2) f(x)=log((1-x)/(1+x)) f(x)=log(x+sqrt(1+x^2)) f(x)=sinx-cosx f(x)=(e^x+e^(-x))/2

Which of the following functions is (are) even, odd, or neither ? (i) f(x)=x^(2)sinx " (ii) " f(x)=sqrt(1+x+x^(2))-sqrt(1-x+x^(2)) (iii) f(x)=log((1-x)/(1+x)) " (iv) " f(x)=log(x+sqrt(1+x^(2))) (v) f(x)=sinx-cosx " (vi) " f(x)=(e^(x)+e^(-x))/(2)

The value of int_(-1)^(1) (log(x+sqrt(1+x^(2))))/(x+log(x+sqrt(1+x^(2))))f(x) dx-int_(-1)^(1) (log(x +sqrt(1+x^(2))))/(x+log(x+sqrt(1+x^(2))))f(-x)dx ,

If f(x)=tan^(-1)((ln(e//x^(3)))/(ln (ex^(3))))+tan^(-1)(ln(e^(4)x^(3))/(ln(e//x^(12))))(AA x ge e) incorrect statement is