(" iv ")e^(x^(x))

If y=e^(x^(e^x))+x^(e^(e^x))+e^(x^(x^e)) , prove that (dy)/(dx)=e^(x^(e^x)) . x^(e^x){(e^x)/x+e^x.logx}+x^(e^(e^x)).e^(e^x){1/x+e^xdotlogx}+e^(x^(x^e)).x^(x^e).x^(e-1){1+elogx}

If f (x) =(e^(x) -e ^(-x))/( e ^(x) +e^(-x)) +2, then the value of f ^(-1) (x) is-

Ecaluate the following: (i) int(sec^(2)x)/(3+tanx)dx " (ii) " int(e^(x)-e^(-x))/(e^(x)+e^(-x))dx (iii) int(1-tanx)/(1+tanx)dx " (iv) " int(1)/(1+e^(-x))dx

Evaluate the following: (i) int(sec^(2)x)/(3+tanx)dx " (ii) " int(e^(x)-e^(-x))/(e^(x)+e^(-x))dx (iii) int(1-tanx)/(1+tanx)dx " (iv) " int(1)/(1+e^(-x))dx

Ecaluate the following: (i) int(sec^(2)x)/(3+tanx)dx " (ii) " int(e^(x)-e^(-x))/(e^(x)+e^(-x))dx (iii) int(1-tanx)/(1+tanx)dx " (iv) " int(1)/(1+e^(-x))dx

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]

Differentiate with respect to X (i) y=xlnx " " (ii) y=x^(2)e^(x) " " (iii) y=(sin x)/(x) " " (iv) y=(3x^(2)+2sqrt(x))/(x)

Integrate the functions (e^(x)-e^(-x))/(e^(x)+e^(-x))

Differentiate (e^(x)+e^(-x))/(e^(x)-e^(-x))