Let f(x)=x^3-8(x). Calculate the difference quotient f(3+h)-f(3)/h
for
h=.1
h=.01
h=-0.1
h=-.1
If someone told you the derivative(slope of tangent line to the graph) of f(x) at x=3 was an integer, what would you expect it to be ?

Question

Let f(x)=x^3-8(x). Calculate the difference quotient f(3+h)-f(3)/h
for
h=.1
h=.01
h=-0.1
h=-.1 
If someone told you the derivative(slope of tangent line to the graph) of f(x) at x=3 was an integer, what would you expect it to be ?

anonymous · Answer

I posted the same question earlier, but I was unable to get an answer and I seriously need help on it ! Can someone please help me solve this problem ?

anonymous · Answer

@dnova21 what is "difference quotient" mean?

anonymous · Answer

from what I know its f(x+h)-f(x)/h 
I tried solving the diff Q by plugging it into my f(x)

anonymous · Answer

ok, i get it
@dnova21 
so is it setting it up where you are needing help?

anonymous · Answer

Yes and how to go about the problem

anonymous · Answer

k, i'll get you started with the idea, but i'll need you to finish the idea, as long as you understand it ^_^

anonymous · Answer

I've tried (x+h)^3-8(x+h)-(x^3-8x) okay yes please I'll solve it but so far I've been doing mistakes

anonymous · Answer

all over h for my equation

anonymous · Answer

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