Question:
The function, $f(x)=(3 x-7) x^{2 / 3}, x \in \mathbf{R}$, is increasing for all $x$ lying in :
Correct Option: 1,
Solution:
$f(x)=(3 x-7) \cdot x^{2 / 3}$
$f^{\prime}(x)=3 x^{2 / 3}+(3 x-7) \cdot \frac{2}{3} x^{-1 / 3}$
$=\frac{15 x-14}{3 x^{1 / 3}}$
For increasing function
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