Homework Statement
Question is: how can you tell if there are any places you can't take the derivative of an equation that has an absolute value (using logic, not just graphing it)
example equations
1. \left|x-5\right|
2. \left| x3+4x2+9x+17 \right|
x2+1
3...
Homework Statement
I am trying to find out when the denominator of this equation is zero so I can tell when the graph has asymptotes or holes. For squares I factor such as x2+2x-15 = (x+5) (x-3). How do I do that with a cube?
Homework Equations
(x-5) (x+3)
X3-5x2+x-5
limit problem - calc 1 please see reply
Homework Statement
limx->0 1/x
The Attempt at a Solution
I know this is easy if you graph it on the calculator, but I want to know the logic behind the getting the answer without graphing it.
Thank you
Homework Statement
I am confused how the scalar multiple is divided out of the proof of this rule without taking an h with it in the denominator, which would get very tiny meaning the entire thing would go to infinity or negative infinity or zero, you can't tell.
Start with: f(x) = k...