Engineering, 25.03.2021 03:20 jekson1252
Quotient rule of sin3x. se X/3
Answers: 1
![y' = \frac{sec(x)}{3}[sin(3x) tan(x) + 3cos(3x)]](/tpl/images/1219/0337/e584e.png)
and 
using product rule is:![\frac{du}{dx} = sin3x * \frac{d[secx]}{dx} + secx * \frac{d[sin3x]}{dx}](/tpl/images/1219/0337/98e47.png)
![\frac{du}{dx} = sec(x)[sin(3x) tan(x) + 3cos(3x)]](/tpl/images/1219/0337/e700c.png)
![y' = \frac{3[sec(x)[sin(3x) tan(x) + 3cos(3x)]] - [sin3x\ secx] * 0}{3^2}](/tpl/images/1219/0337/d48fc.png)
![y' = \frac{3[sec(x)[sin(3x) tan(x) + 3cos(3x)]]}{9}](/tpl/images/1219/0337/3608a.png)
![y' = \frac{sec(x)[sin(3x) tan(x) + 3cos(3x)]}{3}](/tpl/images/1219/0337/45ffa.png)
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