derivative of sinx(sinx+cosx)

[bobithjones]

hey guys, this is my first post but i need help finding the derivative of sinx(sinx+cosx)

thanks
alyssa

 

[jwpaine]

Whenever you have a function within a function, you must use the chain rule to differentiate. In this case, let sinx = h(x), let (sinx + cosx) = g(x)

for f(x) = sin(sinx + cosx), f'(x) = h'(g(x))g'(x)

 

[bobithjones]

thank you so much