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JEE Main20241 Feb 2024Evening ShiftMathematicsDifferentiationActual

If y = x + 1 x 2 − x x x + x + x + 1 15 3 cos 2 x − 5 cos 3 x , then 96 y ' π 6 is equal to:

Correct answer

0

Step-by-step solution

Given: y = x + 1 x 2 - x x x + x + x + 1 15 3 cos 5 x - 5 cos 3 x ⇒ y = x + 1 x 2 - x x - 1 x x + x + x x - 1 + 1 15 3 cos 5 x - 5 cos 3 x ⇒ y = x + 1 x 2 - x x - 1 x x + x + 1 x - 1 + 1 15 3 cos 5 x - 5 cos 3 x ⇒ y = x + 1 x 2 - x x - 1 x x 3 - 1 + 1 15 3 cos 5 x - 5 cos 3 x ⇒ y = x + 1 x x 3 - 1 x - 1 x x 3 - 1 + 1 15 3 cos 5 x - 5 cos 3 x ⇒ y = x + 1 x - 1 + 1 15 3 cos 5 x - 5 cos 3 x ⇒ y = x - 1 + 1 15 3 cos 5 x - 5 cos 3 x ⇒ d y d x = 1 + 1 15 15 cos 4 x - sin x + 15 cos 2 x sin x ⇒ d y d x = 1 + cos 4 x - sin

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