(i) State the derivative of the logarithmic function with respect to , where . (ii)…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

(i) State the derivative of the logarithmic function y=log⁡axy=\log_a x with respect to xx, where a>0,  a≠1a>0,\;a\neq1. (ii) Hence write the derivative of y=ln⁡xy=\ln x. (iii) Specify the set of all real numbers for which each derivative obtained in parts (i) and (ii) is defined.

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