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Differentiate \(log⁡(cos⁡(sin⁡(e^{x^3})))\) w.r.t x.

A. –\(3x^2 \,e^{x^3} \,cos⁡e^{x^3} \,tan⁡(sin⁡e^{x^3})\)
B. \(3x^2 \,e^{x^3} \,cos⁡e^{x^3} \,tan⁡(sin⁡e^{x^3})\)
C. –\(3e^{x^3} \,cos⁡e^{x^3} \,cos⁡(sin⁡e^{x^3})\)
D. –\(x^2 e^{x^3} \,cos⁡e^{x^3} \,tan⁡(sin⁡e^{x^3})\)
Answer» B.


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