Question

find the derivative of the trigonometric function f(x)=sin x cos x

Answer 1

Note that \(f(x)=\sin(x)\cos(x)=\frac{1}{2}\sin(2x)\).

Try differentiating that.

Answer 2

Main point is to remember that:
\[
2\sin(x)\cos(x)=\sin(2x)
\]

Answer 3

is 2sin(x)cos(x) what i get after differentiating 1/2sin(2x)?

Answer 4

I'm terrible at differentiating

Answer 5

I think that differentiate to cos(2x) right?

Answer 6

No, \(2\sin(x)\cos(x)=\sin(2x)\) is an identity.