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Derivatives — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsDerivatives1 Mark
Question
If $\text{f}(\text{x})=\log_{\text{x}^2}\text{x}^3$ write the value of f'(x).
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Answer

Given,$\text{f}(\text{x})=\log_{\text{x}^2}\text{x}^3$
$=\frac{\log\text{x}^3}{\log\text{x}^2}$
$=\frac{3\log\text{x}}{2\log\text{x}}$
$=\frac{3}{2}$
$\text{f}'(\text{x})=0$

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