Let f(x) = { -4x^2+4x for x0} According to the definition of derivative, to compute f′(0), we need to compute the left-hand limit lim x- 0- =

Question

Let f(x) = { -4x^2+4x     for x< 0
                  4x^2 -5         for x>0}
According to the definition of derivative, to compute f′(0), we need to compute the left-hand limit 
lim x-> 0- =

anonymous · Answer

the ans is not -8x+4....why?

anonymous · Answer

for the definition of derivative, you are supposed to compute f'(0) by finding the left hand limit of f(x) as x ->0-  ?

anonymous · Answer

yea

anonymous · Answer

According to the definition of derivative, to compute f′(0), we need to compute the left-hand limit

anonymous · Answer

that is what the question was asking , i solved the right hand side but i couldnt get the left one

anonymous · Answer

Note that the first two fields ask for a difference quotient, not a value

anonymous · Answer

I am weaker on this than I thought... sorry, need to review before I send you in the wrong direction.