1.

\[\frac{d}{dx}{{({{x}^{2}}+\cos x)}^{4}}=\]                                                        [DSSE 1979]

A.            \[4({{x}^{2}}+\cos x)(2x-\sin x)\]                                         
B.  \[4{{({{x}^{2}}-\cos x)}^{3}}(2x-\sin x)\]                                   
C.            \[4{{({{x}^{2}}+\cos x)}^{3}}(2x-\sin x)\]
D.            \[4{{({{x}^{2}}+\cos x)}^{3}}(2x+\sin x)\]
Answer» D.            \[4{{({{x}^{2}}+\cos x)}^{3}}(2x+\sin x)\]


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