lf y=sqrt ((1+sinx)/(1-sinx)) show (dy)/(dx)=(1)/(1-sinx) y-e^tan(4+sin3x)+(1)/(cosx)+6iiy=(cosx)^x+2x^2

Question

Answer 1

To find the derivative of

with respect to

, we can use the chain rule and the quotient rule.First, let's rewrite

as

.Now, let's differentiate

with respect to

:

To find

, we can use the quotient rule:

Simplifying this expression, we get:

Now, substituting this back into our expression for

, we get:

Simplifying this expression, we get:

Therefore,

.Regarding the second equation, it seems to be a complex equation involving

,

, and

. It is not clear what the question is asking for, so it is not possible to provide a solution.

Question