Question

Evaluate the difference quotient for the given function.

Answer 1

are you trying to differentiate using the limit definition of a function?

Answer 2

\[-x ^{3}, f(a+h)-f(a)/h\]

Answer 3

no

Answer 4

I ended up with -3x^2-3xh-h^2
but its wrong

Answer 5

\[(-(x+h)^{3} -(-x ^{3}))/h\]

Answer 6

i got that part right

Answer 7

correct me if i wrong should be -(x^3 + 3x^2h+3xh^2+h^3)-x^3/h

Answer 8

well -x^3 remains as -x^3 and then you have a - sign in front of it so the sign becomes positive. It's -(-x^3) = x^3

Answer 9

Are you referring to the second -x^3 or both?

Answer 10

The second one. All terms on the first part are negative.
This is what you should have \[h( -3x^2 -2xh -hx -h^2)/h\]
So the h on top and at the bottom cancel out and you are left with \[( -3x^2 -2xh -hx -h^2)\]

Answer 11

ok I see

Answer 12

thanks