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UP TGT Mathematics Calculus Differentiation Test Series - Part 1

The derivative of logₐ(x) (where a > 0, a ≠ 1) with respect to x is:

Type: MCQ • Marks: 1
The derivative of logₐ(x) (where a > 0, a ≠ 1) with respect to x is:
Options
A. 1 / x
B. ln(a) / x
C. 1 / (x ln a)
D. aˣ ln a
Explanation
Change of base formula gives d/dx(logₐ x) = 1 / (x ln a).
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