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

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

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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

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