Question

What is the derivative of `y=3sin(x) - sin(3x)`?

Answer 1

`y=3sin(x)−sin(3x)`

`y'=3cosx−[cos(3x)*3]` `color(white)(ttttt` `["applying chain rule to" sin(3x)]`

`y'=3(cosx−cos3x)`

Answer 2

`dy/dx=3cosx-3cos3x`

Explanation:

`"differentiate "sin3x" using the "color(blue)"chain rule"`

`"Given "y=f(g(x))" then"`

`dy/dx=f'(g(x))xxg'(x)larrcolor(blue)"chain rule"`

`y=3sinx-sin3x`

`rArrdy/dx=3cosx-cos3x xxd/dx(3x)`

`color(white)(rArrdy/dx)=3cosx-3cos3x`