JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

f(x)=\sin \left\{\frac{\pi}{3}[x]-x^2\right\}

for

2 < x < 3

and

[x]

denotes the greatest integer less than or equal to

x

, then

f'(\sqrt {\pi /3} )

is equal to

View answer and explanation

Correct option: B

-\sqrt{\pi / 3}

Option B (-

\sqrt{\pi / 3}

) is correct because it is the value of the derivative of the given function at the specified point, calculated using the chain rule.

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