By definition of absolute value, you have
or more simply,
On their own, each piece is differentiable over their respective domains, except at the point where they split off.
For <em>x</em> > -1, we have
(<em>x</em> + 1)<em>'</em> = 1
while for <em>x</em> < -1,
(-<em>x</em> - 1)<em>'</em> = -1
More concisely,
Note the strict inequalities in the definition of <em>f '(x)</em>.
In order for <em>f(x)</em> to be differentiable at <em>x</em> = -1, the derivative <em>f '(x)</em> must be continuous at <em>x</em> = -1. But this is not the case, because the limits from either side of <em>x</em> = -1 for the derivative do not match:
All this to say that <em>f(x)</em> is differentiable everywhere on its domain, <em>except</em> at the point <em>x</em> = -1.
Let's call our number <em>x</em>.
So we can setup the equation x² = 100.
To solve this equation, we square root both sides.
So we have x = ±10.
Always use plus or minus when square rooting both sides
of an equation so our answer is not only 10, it's also -10.
The applications that will involve percentages include:
- Sales Tax
- Original Sale Price
- Commission
- Income Tax
<h3>Which applications involve percentages?</h3>
Sales tax will involve percentage because the sales tax percentage will be needed to calculate the sales tax. The same goes for the income tax.
Commissions also involve percentages as the commission is a percentage of sales. The original sales price can only be acquired by using the discount or markup percentage applied to it to get the current sales price.
Find out examples of commission percentages at brainly.com/question/24951536.
Answer:
<em>See below.</em>
Step-by-step explanation:
Divide to turn the percentage into a decimal.
Then, multiply the percentage by the total to get the amount.
<em>Answer: </em>
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<em>:)</em>
Answer:
1. / 2. /4. / 6.
Step-by-step explanation:
Those are the answers you have to divide them by 2 and multiply by 3
