jo wollt mal fragen ob denb bewies den ich geacht habe richtig ist
lim (H->0) = sin(x+h) - sin (x) / h
lim (h->0) 2 * cos (a+b / 2) * sin ( a -b /2) /h a = aplha b = beta
lim (h->0) 2* cos ( x+h+x /2) * sin (x+h-x) /h
lim (h->0) 2* cos (2x+h /2) * sin (h/2) /h
lim (h->0) 2* cos(x + h/2) * sin(h/2) /h
lim (h->0) cos(x+ (h/2)) * sin (h /2) / (h/2)
lim (h->0) cos(x+(h/2)) * sin(h/2)/(h/2)
lim (h->0) cos(x+(h/2) * 1
= cos (x + 0/2)
f'(x) = cos (x)
lim (H->0) = sin(x+h) - sin (x) / h
lim (h->0) 2 * cos (a+b / 2) * sin ( a -b /2) /h a = aplha b = beta
lim (h->0) 2* cos ( x+h+x /2) * sin (x+h-x) /h
lim (h->0) 2* cos (2x+h /2) * sin (h/2) /h
lim (h->0) 2* cos(x + h/2) * sin(h/2) /h
lim (h->0) cos(x+ (h/2)) * sin (h /2) / (h/2)
lim (h->0) cos(x+(h/2)) * sin(h/2)/(h/2)
lim (h->0) cos(x+(h/2) * 1
= cos (x + 0/2)
f'(x) = cos (x)
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