A.\(y' = \dfrac{1}{{3\ln x}}\)
B.\(y' = \dfrac{1}{{x\ln 3}}\)
C.\(y' = \dfrac{x}{{\ln 3}}\)
D.\(y' = \dfrac{1}{x}\)

A.\({x^{\dfrac{5}{3}}}\)
B.\({x^{\dfrac{3}{5}}}\)
C.\({x^{\dfrac{1}{{15}}}}\)
D.\({x^{15}}\)

A.\(\left( { - \infty ;0} \right)\)
B.\(\left( {0;1} \right)\)
C.\(\left( { - 1; + \infty } \right)\)
D.\(\left( { - 1;0} \right)\)

A.\(\left( { - \infty ; - 1} \right) \cup \left( {3; + \infty } \right)\)
B.\(\left( { - \infty ; - 1} \right] \cup \left[ {3; + \infty } \right)\)
C.\(\left( { - 1;3} \right)\)
D.\(\left[ { - 1;3} \right]\)

A.\(\dfrac{9}{{11}}\)
B.\(\dfrac{8}{{11}}\)
C.\(\dfrac{6}{{11}}\)
D.\(\dfrac{4}{{11}}\)

A.\(6\sqrt 2  - 2\)
B.\(2\)
C.\(4\sqrt 2  - 2\)
D.\(3\)

A.\(\dfrac{{2{a^3}}}{3}\)
B.\(\dfrac{{4{a^3}}}{3}\)
C.\(\dfrac{{{a^3}}}{3}\)
D.\(\dfrac{{8{a^3}}}{3}\)

A.\(\left( {\int {f\left( x \right)dx} } \right)' =  - f'\left( x \right)\)
B.\(\left( {\int {f\left( x \right)dx} } \right)' = f'\left( x \right)\)
C.\(\left( {\int {f\left( x \right)dx} } \right)' =  - f\left( x \right)\) 
D.\(\left( {\int {f\left( x \right)dx} } \right)' = f\left( x \right)\)

A.\(13\)
B.\(C_{13}^2\)
C.\(C_5^2 + C_8^2\)
D.\(A_{13}^2\)

A.\(\cot x + C\)
B.\( - \tan x + C\)
C.\( - \cot x + C\)
D.\(\tan x + C\)