JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

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

, where

2 < x < 3

and [.] represetns greatest integer function, then

f^{\prime}\left(\sqrt{\frac{5 \pi}{3}}\right)

is equal to

View answer and explanation

Correct option: B

2 \sqrt{\frac{5 \pi}{3}}

Option B (

2 \sqrt{\frac{5 \pi}{3}}

) is correct because by substituting the greatest integer function and differentiating

f(x)

, we can find

f'(\sqrt{\frac{5 \pi}{3}})

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