1. ## differentiation

Given that y = (1+tanx)/(1+2tanx)

find dy/dx

ok do i just differentiate (1+tanx)/(1+2tanx)?

2. Use the quotient rule for differentiation.

$\frac{d}{dx}(\frac{u}{v}) = \frac{u'v - v'u}{v^2}$

3. Originally Posted by djmccabie
Given that y = (1+tanx)/(1+2tanx)

find dy/dx

ok do i just differentiate (1+tanx)/(1+2tanx)?

Yes, you are given that y= (1+ tanx)/(1+ 2tanx) and are asked to differentiate y: differentiate (1+ tan x)/(1+ 2 tan x).

And use the quotient rule as bobby said.

4. That is what i initially attempted and got

-sec²x/(1-2tanx)²

is this right?

5. Originally Posted by djmccabie
That is what i initially attempted and got

-sec²x/(1-2tanx)²

is this right?
denominator should be $(1 + 2\tan{x})^2$

6. typo thanks