Find the value of   `e^x + e^(-x) `

find the derivative of e^(x) + e^(y) = e^(x +y)

Prove that the least value of f(x) = (e^(x) + e^(-x)) is 2

Find the value of lim_(x rarr e)(log_(e)x)/(x-e)

Find the value of lim_(xto0^(+)) (3(log_(e)x)^(2)+5log_(e)x+6)/(1+(log_(e)x)^(2)).

The value of ((e^x + e^(-x))/(2))^(2) - ((e^x - e^(-x))/(2))^(2) is :

Find the value of a so that lim_(xto0) (e^(ax)-e^(x)-x)=3/2.

If x_(1),x_(2),x_(3),……………..x_(13) are in A.P. then the value of |(e^(x_(1)),e^(x_(4)),e^(x^(7))),(e^(x_(4)),e^(x_(7)),e^(x_(10))),(e^(x_(7)),e^(x_(10)),e^(x_(13)))| is

Let f(x)=e^(x)+2x+1 then find the value of int_(2)^(e+3)f^(-1)(x)dx

If int_(0)^(1)e^(-(x^(2)))dx=a, then find the value of int_(0)^(1)x^(2)e^(-(x^(2)))dx in terms of a

log_(e)x-log_(e)y=a,log_(e)y-log_(e)z=b&log_(e)z-log_(e)x=c, then find the value of ((x)/(y))^(b-c)*((y)/(z))^(c-a)*((z)/(x))^(a-b)=?