# How to find the derivative of this function

## Homework Statement

How do we find the derivative of function:
y= √[(1-sinx)/(1+sinx)]
This is the exercise problem from my textbook. I have not covered chain rule yet. So please you basic derivative rules to solve it.

## Homework Equations

Here is the answer of derivative given in my textbook: secx(tanx-secx)

## The Attempt at a Solution

I have tried replacing square root by power of 1/2 but cant reach to the answer.

PeroK
Homework Helper
Gold Member
2020 Award

## Homework Statement

How do we find the derivative of function:
y= √[(1-sinx)/(1+sinx)]
This is the exercise problem from my textbook. I have not covered chain rule yet. So please you basic derivative rules to solve it.

## Homework Equations

Here is the answer of derivative given in my textbook: secx(tanx-secx)

## The Attempt at a Solution

I have tried replacing square root by power of 1/2 but cant reach to the answer.

Can you see a way to get rid of the square root?

rishi kesh
Can you see a way to get rid of the square root?

think of manipulating the terms within the square root itself
(1 - sin^2x = cos ^2x)

rishi kesh
PeroK
Homework Helper
Gold Member
2020 Award
Whenever you have an expression of the form
##\frac{1+x}{1-x}##

you should think about multiplying top and bottom by ##1+x## or ##1-x##

rishi kesh
Whenever you have an expression of the form
##\frac{1+x}{1-x}##

you should think about multiplying top and bottom by ##1+x## or ##1-x##
Hi! I am sorry i tried but i couldn't solve it . I would greatly appreciate your help.

PeroK
Homework Helper
Gold Member
2020 Award
Hi! I am sorry i tried but i couldn't solve it . I would greatly appreciate your help.
Multiply top and bottom by ##1-\sin x## and see what comes out.

Multiply top and bottom by ##1-\sin x## and see what comes out.
Here is a picture of what i've solve. Please tell me if its correct.

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PeroK