A.\(y' = 2\cos 2x + x{3^x} - 1\)
B.\(y' =  - \cos 2x + {3^x}\)
C.\(y' =  - 2\cos 2x - {3^x}\ln 3\)
D.\(y' = 2\cos 2x + {3^x}\ln 3\)

A.\(\dfrac{{{a^\alpha }}}{{{a^\beta }}} = {a^{\dfrac{\alpha }{\beta }}}\)
B.\({a^{\sqrt \alpha  }} = {\left( {\sqrt a } \right)^\alpha }\)  \(\left( {\alpha  > 0} \right)\)
C.\({a^{{\alpha ^\beta }}} = {\left( {{a^\alpha }} \right)^\beta }\)
D.\(\sqrt {{a^\alpha }}  = {\left( {\sqrt a } \right)^\alpha }\)

A.\(x = 4\) 
B.\(x = 6\)
C.\(x = 24\) 
D.\(x = 0\)

A.\(x = \sqrt 7 \)
B.\(x = \dfrac{7}{2}\)
C.\(x = {\log _2}7\)
D.\(x = {\log _7}2\)

A.\(\dfrac{{2{x^3}}}{3} + {x^2} + x + C\)
B.\(4x + 1\)
C.\(\dfrac{{2{x^3}}}{3} + \dfrac{{{x^2}}}{2} + x\)
D.\(\dfrac{{2{x^3}}}{3} + \dfrac{{{x^2}}}{2} + x + C\)

A.\( - \sin \left( {4x + 7} \right) + x\)
B.\(\dfrac{1}{4}\sin \left( {4x + 7} \right) - 3\)
C.\(\sin \left( {4x + 7} \right) - 1\)
D.\( - \dfrac{1}{4}\sin \left( {4x + 7} \right) + 3\)

A.\(15\)
B.\(17\)
C.\(7\)
D.\(10\)

A.\(6\)
B.\(9\)
C.\(12\)
D.\(3\)

A.\(3\)
B.\(\sqrt 5 \)
C.\(5\)
D.\(4\)

A.\(Q\left( { - 2; - 6} \right)\)
B.\(P\left( { - 5; - 3} \right)\) 
C.\(N\left( {6; - 8} \right)\)
D.\(M\left( {3; - 11} \right)\)