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The derivative of logax is I.e. d(logax)/dx is ??????????????????????????????????? ? ?????

Ankit Singh , 6 Years ago
Grade 11
anser 2 Answers
Saurabh Koranglekar

Last Activity: 6 Years ago

576-1507_IMG_20190524_214307.jpg

Rajdeep

Last Activity: 6 Years ago

HEY THERE!
 
Here’s your answer:
 
Let \\ y = log_{a}x \\\\y = \frac{log_{e}x}{log_{e}a} \\\\\frac{dy}{dx} = \frac{\frac{1}{x} \times log_{e}a - log_{e}x \times 0}{(log_{e}a)^{2}} \\\\ = \frac{1}{x\times ln (a)}
 
Here I’ve used the quotient rule of differentiation.
If you do not understand any step, please let me know.
THANKS!

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