Given the function f(x)=c, where is c is some constant. Show that f’(x)=0 Hint: by limit definition?
- davidLv 79 months agoFavorite Answer
f' = lim (h-->0) [ (c) - (c) ] /h
= lim (h-->0) 0/h
= lim (h-->0) 0
f' = 0 <<< answer
- lenpol7Lv 79 months ago
f(x) = Cx^0
Remember x^0 = 1
f'(x) = 0(C)x^(0-1)
f'(x) = 0 Because anything multiplied by zero (0) = zero(0) .
- Anonymous9 months ago
You know how in the numerator of the derivative expression you see f(x)-f(c)? Or f(x+h)-f(x) depending on which definition you learned? Well...... What is f of any number you could ever plug in?