Bài tập 29 trang 211 SGK Toán 11 NC

a) \(y\prime  = 5\cos x + 3\ sin x\)

b) \(y' = \left( {2x - 3} \right)\cos \left( {{x^2} - 3x + 2} \right)\)

c)

\(\begin{array}{l}
y' = \frac{2}{{2\sqrt {2x + 1} }}\left( { - \sin \sqrt {2x + 1} } \right)\\
 = \frac{{ - \sin \sqrt {2x + 1} }}{{\sqrt {2x + 1} }}
\end{array}\)

d) \(y = \sin 8x - \sin 2x \Rightarrow y\prime  = 8\cos 8x - 2\cos 2x\)

e)

\(\begin{array}{l}
y\prime  = \frac{{(\cos x - \sin x)(\sin x - \cos x) - {{(\cos x + \sin x)}^2}}}{{{{(\sin x - \cos x)}^2}}}\\
 = \frac{{ - 2}}{{{{(\sin x - \cos x)}^2}}}
\end{array}\)

f) \(y\prime  = \frac{{ - 2\sin 2x}}{{2\sqrt {\cos 2x} }} = \frac{{ - \sin 2x}}{{\sqrt {\cos 2x} }}\)

-- Mod Toán 11 HỌC247