We wish to differentiate sin^2(x) . For that, we derivate D(sin2(x))=D(sin(x)sin(x)) = __________= 2sin(x)cos(x)=_____________ Therefore D(sin2(x)=sin(2x).

I'm supposed to fill in the blanks

Question

We wish to differentiate sin^2(x) . For that, we derivate D(sin2(x))=D(sin(x)sin(x)) = __________= 2sin(x)cos(x)=_____________ Therefore D(sin2(x)=sin(2x).

I'm supposed to fill in the blanks

slaaibak · Answer

First blank space:

D(sin(x)sin(x)) = D(sin(x)) * sin(x) + sin(x)*D(sin(x)) = cos(x)sin(x) + sin(x)cos(x) = 2sin(x)cos(x) = sin(2x)

slaaibak · Answer

Which part is giving you problems?

anonymous · Answer

nvm >,<

anonymous · Answer

how does cos(x)sin(x)+sin(x)cos(x) = 2 sin(x) cos(x)??

anonymous · Answer

2 ( sin(x)+cos(x))??

slaaibak · Answer

Nope.  

Do you know that xy = yx?

Then further, do you know that xy + yx = xy + xy = xy(1 + 1) = 2xy ?

anonymous · Answer

its a property...

slaaibak · Answer

?

cos(x)sin(x {xy})+sin(x)cos(x) {yx}

apply the same logic

anonymous · Answer

lmao
omg thanks