# Definition of Derivative...1

Discussion in 'Calculus' started by nycmathguy, Jun 12, 2022.

1. ### nycmathguy

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Calculus
Section 2.8

nycmathguy, Jun 12, 2022

2. ### MathLover1

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correct

state the domain of the function and the domain of its derivative

MathLover1, Jun 12, 2022
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3. ### nycmathguy

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Last edited: Jun 12, 2022
nycmathguy, Jun 12, 2022
4. ### MathLover1

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correct

MathLover1, Jun 13, 2022
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5. ### nycmathguy

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Very good. How is the range found?

nycmathguy, Jun 13, 2022
6. ### MathLover1

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The range is the set of possible output values, which are shown on the y-axis.

Overall, the steps for algebraically finding the range of a function are:
1. Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
2. Find the domain of g(y), and this will be the range of f(x).
3. If you can't seem to solve for x, then try graphing the function to find the range.

MathLover1, Jun 13, 2022
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