Home
Class 12
MATHS
"If "y=logsqrt((1+cos^(2)x)/(1-e^(2x)))"...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

(dy)/(dx)=(e^(2x)+1)/(e^(x))

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 = log sqrt((1 + cos^2 x)/(1 - e^(2x))), find (dy)/(dx) .

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

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

If y=tan^(-1)((e^(2x)+1)/(e^(2x)-1)) , prove that : dy/dx=-(2e^(2x))/(1+e^(4x)) .

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

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

If y=e^(-x)cos x, show that (d^(2)y)/(dx^(2))=2e^(-1)sin x