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Application of Derivatives question

2011 · Shift 0 · Q34

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2011 · Shift 0 · Q34

Application of Derivatives question

2011 · Shift 0 · Q34

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

For

x \in \left( {0,{{5\pi } \over 2}} \right),

define

f\left( x \right) = \int\limits_0^x {\sqrt t \sin t\,dt.}

Then

f

has

A
local minimum at $\pi$ and $2\pi$
B
local minimum at $\pi$ and local maximum at $2\pi$
C
local maximum at $\pi$ and local minimum at $2\pi$
D
local maximum at $\pi$ and $2\pi$

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