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Differentiating the Arctangent Directly

by Eric Key (University of Wisconsin-Milwaukee)

This article originally appeared in:
College Mathematics Journal
September, 2009

Subject classification(s): Differentiation | Single Variable Calculus | Calculus
Applicable Course(s): 3.4 Non-mainstream Calc I | 3.1 Mainstream Calculus I | 3.0 Calculus

The derivative of arctangent is derived directly from the definition of derivative by using some clever inequalities.

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Capsule Course Topic(s): One-Variable Calculus | Calculus FunctionsOne-Variable Calculus | Differentiation: Definition and Elementary Application
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