Which of the following gives

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Which of the following gives ddx(log⁡ax)\displaystyle \frac{d}{dx}(\log_a x), where a>0,  a≠1a>0,\;a\neq1? (a) ln⁡ax\dfrac{\ln a}{x} (b) 1ax\dfrac{1}{a x} (c) 1xln⁡a\dfrac{1}{x\ln a} (d) ln⁡xa\dfrac{\ln x}{a}

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