If f(x)=\int^{\sin x}_{2x}\cos(t^3)\dt, then f'(x) is equal to

Correct Answer is : cos(sin3x)cosx−2cos(8x3)

\cos(\sin^3x)\cos x-2\cos(8x^3)

\sin(\sin^3x)\sin x-2\sin(8x^3)

\cos(\cos^3x)\cos x-2\cos(8x^3)

\sin(\sin^3x)\cos x-2\sin(8x^3)

KEAM 2012 Math Paper

Question : 12 of 120

Marks: +1, -0

If f(x)=

sin‌x

∫

cos(t3)‌dt, then f′(x) is equal to

cos(sin3x)‌cos‌x−2‌cos(8x3)
sin(sin3x)‌sin‌x−2‌sin(8x3)
cos(cos3x)‌cos‌x−2‌cos(8x3)
cos(sin3x)−2‌cos(8x3)
sin(sin3x)‌cos‌x−2‌sin(8x3)

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