If
f(x) = −5x^2 + x ,
which of the following determines the derivative of f(x)?
A. lim
h→0 −5(x + h)^2 + (x + h) + 5x^2 − x/h
B. lim
h→0 −5x^2 + x + h + x^2 − x/h
C.−5(x + h)^2 + (x + h) − 5x^2 + x/h
D.−5(x + h)^2 + (x + h) + 5x^2 − x/h
E. lim
x→0 −5(x + h)^2 + (x + h) + 5x^2 − x/h
F. lim
x→0 −5x^2 + x + hx2 − x/h

Question

If
f(x) = −5x^2 + x ,
which of the following determines the derivative of f(x)?
A. lim
h→0     −5(x + h)^2 + (x + h) + 5x^2 − x/h
B. lim
h→0     −5x^2 + x + h + x^2 − x/h
C.−5(x + h)^2 + (x + h) − 5x^2 + x/h
D.−5(x + h)^2 + (x + h) + 5x^2 − x/h
E. lim
x→0     −5(x + h)^2 + (x + h) + 5x^2 − x/h
F. lim
x→0    −5x^2 + x + hx2 − x/h


hero · Answer

Actually, it's as h goes to zero

hero · Answer

$$\lim_{h \to 0}\frac{f(x + h) - f(x)}{h}$$

anonymous · Answer

Yeah I understood, thank you for the help (: @Hero

hero · Answer

Basically, you could eliminate choices C - F

hero · Answer

Which answer choice did you choose?