# P If F (X) = Log X 2 Write the Value of F' (X). - Mathematics

If f (x) =  $\log_{x_2}$write the value of f' (x).

#### Solution

$f(x) = \log_{x^2} x^3$
$= \frac{\log x^3}{\log x^2} (\text{ Change of base property })$
$= \frac{3 \log x}{2 \log x}$
$= \frac{3}{2}$
$f'\left( x \right) = 0 (\text{ Since } \frac{3}{2} \text{ is a constant })$

Concept: The Concept of Derivative - Algebra of Derivative of Functions
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 30 Derivatives
Q 14 | Page 47