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HomeMHT-CETMathematicsDifferentiation › $\dfrac{d}{dx}(a^x)$ equals (where $a > 0$):

$\dfrac{d}{dx}(a^x)$ equals (where $a > 0$):

A$a^x$
B$a^x / x$
C$a^x \ln a$
D$x a^{x-1}$
Answer & Solution
Correct answer: C. $a^x \ln a$
$a^x = e^{x \ln a}$; derivative = $e^{x \ln a} \cdot \ln a = a^x \ln a$.
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