Quick question: Derivative of a Trig Function

1. Oct 15, 2007

momogiri

Question
Find the derivative of the function. Simplify if possible.
y = sin-1(2x + 3)

I'm wondering if the derivative is as simple as $$\frac{1}{\sqrt{1-(2x+3)^{2}}}$$ XD

2. Oct 15, 2007

bob1182006

you forgot to multiply by (2x+3)'.

$$(arcsinu)'=\frac{u'}{\sqrt{1-u^2}}$$

3. Oct 15, 2007

momogiri

OMFG BOB YOU'RE BACCKKKKK <3333 XD
My assignment is already overdue, so I can't do anything now XD

So it'd be
$$\frac{(2x+3)'}{\sqrt{1-(2x+3)^{2}}}$$ to solve?

Last edited: Oct 15, 2007
4. Oct 15, 2007

CompuChip

Indeed, and it will hardly make the answer less simple