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Differentiation question

2024 · 1 Feb · Shift 2 · Q53
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  5. /2024 · 1 Feb · Shift 2 · Q53

Differentiation question

2024 · 1 Feb · Shift 2 · Q53

JEE MainMathematicsDifferentiationNumerical+4 / −1
If y=(x+1)(x2−x)xx+x+x+115(3cos⁡2x−5)cos⁡3xy=\frac{(\sqrt{x}+1)\left(x^2-\sqrt{x}\right)}{x \sqrt{x}+x+\sqrt{x}}+\frac{1}{15}\left(3 \cos ^2 x-5\right) \cos ^3 xy=xx​+x+x​(x​+1)(x2−x​)​+151​(3cos2x−5)cos3x, then 96y′(π6)96 y^{\prime}\left(\frac{\pi}{6}\right)96y′(6π​) is equal to :
Numerical answer
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