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Grade: 11
        
The derivative of logax is I.e. d(logax)/dx is ???????????????????????????????????  ? ?????
4 months ago

Answers : (2)

Saurabh Koranglekar
askIITians Faculty
3142 Points
							576-1507_IMG_20190524_214307.jpg
						
4 months ago
Rajdeep
231 Points
							
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!
4 months ago
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