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Tính đạo hàm của các hàm số sau
a) \(y = {x \over {\sin x + \cos x}}\) b) \(y = {{\tan t} \over t}\)
c) \(y = {{t\sin t} \over {1 + \tan t}}\) d) \(y = \cos x – {1 \over 3}{\cos ^3}x\)
e) \(y = \cot \sqrt {{x^2} – x + 1} \) g) \(y = \sin \left( {2\sin x} \right)\)
h) \(y = {\cos ^3}4x\) i) \(y = {\sin ^2}\left( {\cos 3x} \right)\)
a) \({{\sin x + \cos x + x\left( {\sin x – \cos x} \right)} \over {1 + \sin 2x}}\) b) \({{t – \sin t\cos t} \over {{t^2}{{\cos }^2}t}}\)
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c) \({{\left( {1 + \tan t} \right)(\sin t + t\cos t) – {1 \over {{{\cos }^2}t}}\left( {t\sin t} \right)} \over {{{\left( {1 + \tan t} \right)}^2}}}\) d) \( – {\sin ^3}x\)
e) \({{1 – 2x} \over {2\sqrt {{x^2} – x + 1} .{{\sin }^2}\sqrt {{x^2} – x + 1} }}\)
g) \(2\cos x\cos \left( {2\sin x} \right)\)
h) \( – 6\cos 4x.\sin 8x\)
i) \( – 3\sin 3x\sin \left( {2\cos 3x} \right).\)