" (vix) e "

int (e ^ (x) -e ^ (- x)) / (e ^ (x) + e ^ (- x)) * dx

int (e ^ (x) + e ^ (- x)) / (e ^ (x) -e ^ (- x)) dx

int e ^ (e ^ (x)) e ^ (x) dx

int e ^ (e ^ (x)) e ^ (x) dx

12. Let f: R10. o.) be such that lim f(x) existsandlim (f(x)) =95 Vix-51= 0. Then lim f(x) equals.(2) 0(c) 2(b) 1M 3[2011]

if y = e ^ ((x) ^ (e ^ x)) + x ^ (e ^ (e ^ x)) + e ^ (x ^ (x ^ e)), then dy / dx = e ^ (( x) ^ (e ^ x)) x ^ (e ^ x) [e ^ xlogx + e ^ x / x] + x ^ (e ^ (e ^ x)) e ^ (e ^ x) [1 / x + e ^ xlogx] + e ^ (x ^ (x ^ e)) x ^ (x ^ e) x ^ (e-1) [1 + elogx]

Find the value of e is : ( a ) e ( b ) e >3 ( c ) e < 3

If y = (e^(x)+e^(-x))/(e^(x)-e^(-x)) then is equal to...

If e^(x) + e^(y) = e^(x + y) , then prove that (dy)/(dx) = (e^(x)(e^(y) - 1))/(e^(y)(e^(x) - 1)) or (dy)/(dx) + e^(y - x) = 0 .

If vec e_(1),vec e_(2),vec e_(3) and vec E_(1),vec E_(2),vec E_(3) are two sets of vectors such that vec e_(i)*vec E_(j)=1, if i=j and vec e_(i)*vec E_(j)=0 and if i!=j then prove that [vec e_(1)vec e_(2)vec e_(3)][vec E_(1)vec E_(2)vec E_(3)]=1