Home › AP EAPCET (Engineering) › Mathematics › Differentiation › What is the derivative of log to base a of x, fo…
What is the derivative of log to base a of x, for x > 0 and a > 0, a not 1?
A1/(x ln a)
Bln a / x
C(ln x) / a
D1/(x a)
Answer & Solution
Correct answer: A. 1/(x ln a)
Since log_a x = ln x / ln a, the derivative is 1/(x ln a).
Related questions
The derivative of ln x at x = 2 isFor x not equal to 0, d/dx of x^-2 equalsIf f is differentiable, then d/dx of 5f(x) equalsLogarithmic differentiation is useful mainly because logarithmsThe function y = x^(1/3), inverse of x^3, is not differentiable atThe discrete counterpart of differentiation isWhich derivative notation is named after Gottfried Leibniz?Differentiating a polynomial again and again eventually gives