1. Estimate the slope of the graph at the points
(
x
1,
y
1) and (
x
2,
y
2).
At (
x
1,
y
1), slope |
= |
At (
x
2,
y
2), slope |
= |
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2. Describe the
x-values at which the function is differentiable.
y
= 9x
2/5
The function is differentiable for all
x
Ac‰ A?±9.
The function is differentiable for all 0
x
The function is differentiable for all
x-values.
The function is differentiable for all
x
Ac‰ 0.
The function is differentiable for all -9
x
=======================================
Consider the following function.
f(x) = |x
Acˆ’ 2|
Find the derivative from the left at
x
= 2. If it does not exist, enter NONE.Find the derivative from the right at
x
= 2. If it does not exist, enter NONE.Is the function differentiable at
x
= 2?
Yes or No
===================================================
Identify a function
f
that has the given characteristics.
f(Ac€?o5) =
f(4) = 0;
f '(-0.5) = 0,
f '(x)
x
f '(x) > 0 for
x
> -0.5
f(x) =Sketch the function.