If f(x) = \frac{4\cos ⁡ (x^{3}) }{ \sin ⁡x}, then what is the derivative of f(x)?

Correct Answer is : f(x) = -12x2 sin (x3) cosec x - 4 cos (x3) cosec x cot x

f(x) = -12x2 sin (x2) cosec x - 4 cos (x3) sec x cot x

f(x) = {−12x^{2} \sin ⁡ (x^{3}) }/{\cos ⁡x}

f(x) = \frac{12x \sin ⁡ (x^{3}) }{\cos ⁡x}

f(x) = -12x2 sin (x3) cosec x - 4 cos (x3) cosec x cot x

AAI ATC Junior Executive 27 Dec 2023 Shift 2 Paper

Question : 76 of 120

Marks: +1, -0

f(x) = \;{4\cos ⁡ (x^{3}) }/{ sin \;⁡x}

, then what is the derivative of f(x)?

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