# Math Help - derivative of trig function

1. ## derivative of trig function

When I take the derivative of

sin(2x+3), I have cos(2x+3)2 or 2cos(2x+3)

Would someone tell me what to do with taking a derivative of

sin((2x+3)/5)? Do I treat it as a quotient rule or what?

2. You can use the quotient rule to calculate the derivative of $\frac{2x + 3}{5}$, but it's easier to write it as $\frac{2}{5}x + \frac{3}{5}$ and calculate the derivative of that.

3. That' great! so 2/5cos((2x+3)/5)

If it is y=(2sin2x)/(x+3), there is no alternative but the quotient rule?

4. In the last problem, you have no option but the quotient rule, that I know of yet.