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A.
cos (2x3 + 3x - 4)
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B.
-cos (2x3 + 3x - 4)
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C.
(6x2 + 3) cos (2x3 + 3x - 4)
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D.
-(6x2 + 3) cos (2x3 + 3x - 4)
Correct Answer: Option C
Explanation
y = sin (2x\(^3\) + 3x - 4)
let u = 2x\(^3\) + 3x - 4
∴du/dx = 6x\(^2\)
y = sin u
dy/du = cos u
dy/dx = du/dx * dy/du
∴dy/dx = (6x\(^2\) + 3) cos u
= (6x\(^2\) + 3)cos(2x\(^3\) + 3x - 4)
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