Answer:
The second table of values.
Step-by-step explanation:
Let's put the x-values in the second table of values in correct number order:
x: -3, -2, -1, 0, 1
Now, let's write out the y-values in correct number order:
y: 1/4, 1, 4, 16, 64
Finally, let's rewrite the second table of values with the x-values in order and the corresponding y-values underneathe:
x: -3, -2, -1 0 1
y: 64, 16, 4, 1, 1/4
As it can be seen, as the x-values get bigger in value, the y-values get smaller exponentially, which is the definition of exponential decay.
Given a point in coordinates form

, one can compute the cartesian form like this:

We have:

We get the cartesian form then:
The derivative of
at a point
in the direction of a vector
is

We have

and

Then the derivative at
in the direction of
is
