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Calculus/domain and range in calculus also the derivatives

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Question
domain and range in calculus what are the techniques there ang in derivatives

Answer
Hi, Mark,
I am afraid I won't be able to answer this question in less than about a year.  The definitions are:

For a function  y = f(x), where x is the input and y is the output,

The DOMAIN is the set of possible inputs -- the set of numbers for which the function can be computed.

You generally look for values of x for which you CANNOT compute f(x), such as:
x's that make a denominator zero.
x's that make a square root imaginary.

Given the domain, the RANGE is the set of outputs, for which there is no obvious routine.  [But it's usually not as important.]

As for the end of your question: 'ang in derivatives', that will have to wait a while.

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Paul Klarreich

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All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.

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I taught all mathematics subjects from elementary algebra to differential equations at a two-year college in New York City for 25 years.

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