P(x) = 3x²-5x P'(x)=lim h>0 p(x+h) - p(x)

TUrunan dngan limit

p(x)= 3x² - 5x
p' (x)=  lim(h->0) p(x+h) - p(x) /h

lim (h->0) (3(x+h)² - 5(x+h)) - (3x² - 5x) / (h)
lim(h->0)  3x² + 6 hx + 3h² - 5x - 5h  - 3x² + 5x  / h
lim(h->0)  6 hx - 3h² - 5h / h
h(6x -3h - 5)/h
= 6x - 3h - 5
h = 0
p'(x)= 6x - 5