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

2 Answers
Sahar Mulla ❤
Apr 9, 2018

y=3sin(x)−sin(3x)

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

y'=3(cosx−cos3x)

Jim G.
Apr 9, 2018

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

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