Evaluate limx→0sin(x+h)−sin(x)h\lim_{x \to 0} \frac{\sin(x+h) - \sin(x)}{h}limx→0hsin(x+h)−sin(x) as h→0h \to 0h→0 (derivative definition).
sinx\sin xsinx
−sinx-\sin x−sinx
cosx\cos xcosx
−cosx-\cos x−cosx