a. \(y' = 5\cos x + 3\sin x\)
b. \(y' = \left( {2x - 3} \right)\cos \left( {{x^2} - 3x + 2} \right)\)
c. \(y' = {2 \over {2\sqrt {2x + 1} }}\left( { - \sin \sqrt {2x + 1} } \right) = {{ - \sin \sqrt {2x + 1} } \over {\sqrt {2x + 1} }}\)
d. \(y = \sin 8x - \sin 2x \Rightarrow y' = 8\cos 8x - 2\cos 2x\)
e. \(y' = {{\left( {\cos x - \sin x} \right)\left( {\sin x - \cos x} \right) - {{\left( {\cos x + \sin x} \right)}^2}} \over {{{\left( {\sin x - \cos x} \right)}^2}}} = {{ - 2} \over {{{\left( {\sin x - \cos x} \right)}^2}}}\)
f. \(y' = {{ - 2\sin 2x} \over {2\sqrt {\cos 2x} }} = {-{\sin 2x} \over {\sqrt {\cos 2x} }}\)
