Linda made $30,000 in taxable income last year.Suppose the income tax rate is 15% for the first $7000 plus 18% for the amount ov
er $7000.How much must Linda pay in income tax for last year?Х5?Continue2022 M
1 answer:
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Answer:
The inner function is and the outer function is
.
The derivative of the function is .
Step-by-step explanation:
A composite function can be written as , where
and
are basic functions.
For the function .
The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.
Here, we have inside parentheses. So
is the inner function and the outer function is
.
The chain rule says:
It tells us how to differentiate composite functions.
The function is the composition,
, of
outside function:
inside function:
The derivative of this is computed as
The derivative of the function is .