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Application of Derivatives question

2024 · 29 Jan · Shift 2 · Q45

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2024 · 29 Jan · Shift 2 · Q45

Application of Derivatives question

2024 · 29 Jan · Shift 2 · Q45

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

The function

f(x)=2 x+3(x)^{\frac{2}{3}}, x \in \mathbb{R}

, has

A
exactly one point of local minima and no point of local maxima
B
exactly one point of local maxima and exactly one point of local minima
C
exactly two points of local maxima and exactly one point of local minima
D
exactly one point of local maxima and no point of local minima

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