What is the derivative of sinx

cosx

lim{h→0} [sin(x + h) - sin(x)] / h

lim{h→0} [sin(x)cos(h) + sin(h)cos(x) - sin(x)] / h

lim{h→0} [sin(h)cos(x) + sin(x)cos(h) - sin(x)] / h

lim{h→0} [sin(h)cos(x) + [cos(h) - 1]*sin(x)] / h

lim{h→0} [sin(h)/h]*cos(x) + [(cos(h) - 1)/h]*sin(x)

1*cos(x) + 0*sin(x)

cos(x)

Cos x :)

cosx

cosx