Describe the x-values at which f is differentiable.

Mathematics

1 answer:

Sedbober [7]4 years ago

5 0

Answer:

Step-by-step explanation:

Differentiability at a point implies no sudden changes in the slopes from one side to the other; that is, the derivative must have the same value.

Differentiating x^2 - 6 and 6 - x^2, we get 2x = -2x, whose only solution is zero (0). The two halves of the given function have the same slope (0) at x = 0.

You might be interested in

Urgent!!!!! please help

Anastaziya [24]

Answer:

Step-by-step explanation:

I will edit and add my explanation

The 3 and 2 are both positive if the information that was given in the screenshot is standalone.

So if the numerals are both positive, they must be traveling to the right because the number line is increasing towards the right.

We can narrow the choices down to A and C because they both move right.

Since neither of the numbers are negative, it must start from the center 0 and increase, so it must be A.

3 * 2 is also 6, so it must end on 6.

7 0

3 years ago

How can you use the point-slope form of a line when only given two points?

Ber [7]

Answer:

If we already have two points of the line, we can find its slope ( $m$ ), its intersection with the y-axis ( $b$ ), hence its point-slope form equation in the following way: