" 12."quad " If "Y=sqrt((1+e^(7))/(1-e^(2)))" ,then show that "(dy)/(dx)=(e^(x))/((1-e^(2))sqrt(1-e^(2x)))

If y=sqrt((1+e^(x))/(1-e^(x))), show that (dy)/(dx)=(e^(x))/((1-e^(x))sqrt(1-e^(2)x))

If y=sqrt((1+e^(x))/(1-e^(x))) , show that (dy)/(dx)=e^(x)/((1-e^(x))sqrt(1-e^(2x))) .

int(e^(2x))/(sqrt(1-e^(2x)))dx

If y=sqrt((1+e^x)/(1-e^x)),s howt h a t(dy)/(dx)=(e^x)/((1-e^x)sqrt(1-e^(2x)))

If : y=sqrt((1+e^(x))/(1-e^(x)))," then: "(dy)/(dx)=

If : y=sqrt((1+e^(x))/(1-e^(x)))," then: "(dy)/(dx)=

If e^(y)(x+1)=1, show that (dy)/(dx)=-e^(y)

"If "y=logsqrt((1+cos^(2)x)/(1-e^(2x)))", show that "(dy)/(dx)=(e^(2x))/(1-e^(2x))-(sinxcosx)/((1+cos^(2)x)).

If y = sqrt((1+e^x)/(1-e^x)), show that dy/dx = e^x/((1-e^x) sqrt(1-e^2x)), x < 0

If let y=cos^(-1)((1-e^(2x))/(1+e^(2x)))" then "(dy)/(dx)=