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d [In(x² + 1)] = d [In(x2 + 1)] x2 + 2.x Given the derivative find the derivative dx Simplify 4. dx x2 +1 your answer as much as possible.

d [In(x² + 1)] = d [In(x2 + 1)] x2 + 2.x Given the derivative find the derivative dx Simplify 4. dx x2 +1 your answer as much as possible.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 54E
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d [In(x2 + 1)] : d [In(x2 + 2x Given the derivative find the derivative dx Simplify 4. = dx x2 + 1 x2 +1 your answer as much as possible. In(x2 + 1) Caution! can not be simplified; the expression x? + 1 in the argument of the natural log is not a x2 + 1 factor in the numerator and, thus, does not cancel with the factor x2 +1 in the denominator.
Transcribed Image Text:d [In(x2 + 1)] : d [In(x2 + 2x Given the derivative find the derivative dx Simplify 4. = dx x2 + 1 x2 +1 your answer as much as possible. In(x2 + 1) Caution! can not be simplified; the expression x? + 1 in the argument of the natural log is not a x2 + 1 factor in the numerator and, thus, does not cancel with the factor x2 +1 in the denominator.
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