If f ( x ) = cos ( x + α ) sin ( x + α ) sin ( β − γ ) cos ( x + β ) sin ( x + β ) sin ( γ − α ) cos ( x + γ ) sin ( x + γ ) sin ( α − β ) and if f ( 2 ) = 0 , then

Question

If f ( x ) = ​ cos ( x + α ) sin ( x + α ) sin ( β − γ ) ​ cos ( x + β ) sin ( x + β ) sin ( γ − α ) ​ cos ( x + γ ) sin ( x + γ ) sin ( α − β ) ​ ​ and if f ( 2 ) = 0 , then

TestHub · Accepted Answer

f ′ ( x ) = 0 ⇒ f ( x ) is constant function ⇒ f ( 2 ) = 4 ⇒ f ( x ) = 4∀ x

Mathematics - Differentiation Question with Solution | TestHub

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JEE Main + Advanced (1 year 12th class)

JEE Advanced (2028)