JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

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^{\prime}(\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 function

f(x)

x = \sqrt{\pi / 3}

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x

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