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A \(y' = 4{x^3} - 6x + 3\)

B \(y' = 4{x^4} - 6x + 2\)

C \(y' = 4{x^3} - 3x + 2\)

D \(y' = 4{x^3} - 6x + 2\)

A \( - {3 \over {{{\left( {x + 2} \right)}^2}}}\)    

B \({3 \over {x + 2}}\)

C \({3 \over {{{\left( {x + 2} \right)}^2}}}\)

D \({2 \over {{{\left( {x + 2} \right)}^2}}}\)

A \({1 \over 6}\)

B \({1 \over {12}}\)

C \( - {1 \over 6}\)

D \( - {1 \over {12}}\)

A 1

B 3

C \(\emptyset \)

D R

A \(y = {{{x^3} + 1} \over x}\)

B \(y = {{3\left( {{x^2} + x} \right)} \over {{x^3}}}\)

C \(y = {{{x^3} + 5x - 1} \over x}\)

D \(y = {{2{x^2} + x - 1} \over x}\)

A \( - {3 \over {{x^4}}} + {1 \over {{x^3}}}\)

B \({{ - 3} \over {{x^4}}} + {2 \over {{x^3}}}\)

C \({{ - 3} \over {{x^4}}} - {2 \over {{x^3}}}\)

D \({3 \over {{x^4}}} - {1 \over {{x^3}}}\)

A \({a \over c}\)

B \({{ad - bc} \over {{{\left( {cx + d} \right)}^2}}}\)

C \({{ad + bc} \over {{{\left( {cx + d} \right)}^2}}}\)

D \({{ad - bc} \over {cx + d}}\)

A \(y' = {{{x^2} - 2x} \over {{{\left( {x - 1} \right)}^2}}}\)

B \(y' = {{{x^2} + 2x} \over {{{\left( {x - 1} \right)}^2}}}\)

C \(y' = {{{x^2} + 2x} \over {{{\left( {x + 1} \right)}^2}}}\)

D \(y' = {{ - 2x - 2} \over {{{\left( {x - 1} \right)}^2}}}\)

A \(y' = \left( {{x^7} + x} \right)\left( {7{x^6} + 1} \right)\)

B \(y' = 2\left( {{x^7} + x} \right)\)

C \(y' = 2\left( {7{x^6} + 1} \right)\)

D \(y' = 2\left( {{x^7} + x} \right)\left( {7{x^6} + 1} \right)\)

A \(y' = {3 \over 2}{1 \over {{x^2}\sqrt x }}\)

B \(y' =  - {1 \over {{x^2}\sqrt x }}\)

C \(y' = {1 \over {{x^2}\sqrt x }}\)

D \(y' =  - {3 \over 2}{1 \over {{x^2}\sqrt x }}\)

A \(y' = \cos 2x\)

B \( - \cos 2x\)

C \(2\cos 2x\)

D \( - 2\cos 2x\)

A \(y' = {{ - 13{x^2} - 10x + 1} \over {{{\left( {{x^2} - 5x + 2} \right)}^2}}}\)                         

B \(y' = {{ - 13{x^2} + 5x + 11} \over {{{\left( {{x^2} - 5x + 2} \right)}^2}}}\)

C \(y' = {{ - 13{x^2} + 5x + 1} \over {{{\left( {{x^2} - 5x + 2} \right)}^2}}}\)

D \(y' = {{ - 13{x^2} + 10x + 1} \over {{{\left( {{x^2} - 5x + 2} \right)}^2}}}\)

A \(0 < x < 2\)

B \(x < 1\)

C \(x < 0\) hoặc \(x > 1\)

D \(x < 0\) hoặc \(x > 2\)

A \({3 \over 2}\left( {\sqrt x  + {1 \over {\sqrt x }} + {1 \over {x\sqrt x }} + {1 \over {{x^2}\sqrt x }}} \right)\)

B \(x\sqrt x  - 3\sqrt x  + {3 \over {\sqrt x }} - {1 \over {x\sqrt x }}\)

C \({3 \over 2}\left( { - \sqrt x  + {1 \over {\sqrt x }} + {1 \over {x\sqrt x }} - {1 \over {{x^2}\sqrt x }}} \right)\)

D \({3 \over 2}\left( {\sqrt x  - {1 \over {\sqrt x }} - {1 \over {x\sqrt x }} + {1 \over {{x^2}\sqrt x }}} \right)\)

A \(y' = 2{{\tan x} \over {{{\cos }^2}x}} + 2{{\cot x} \over {{{\sin }^2}x}}\)    

B

\(y' = 2{{\tan x} \over {{{\cos }^2}x}} - 2{{\cot x} \over {{{\sin }^2}x}}\)

C \(y' = 2{{\tan x} \over {{{\sin }^2}x}} + 2{{\cot x} \over {{{\cos }^2}x}}\)

D \(y' = 2\tan x - 2\cot x\)

A \( - \sqrt 3 \)

B \(4\)

C \(-3\)

D \( \sqrt 3 \)

A \(y' = {{\sin {x \over 2}} \over {2{{\cos }^3}{x \over 2}}}\)

B \(y' = {\tan ^3}{x \over 2}\)

C \(y' = {{\sin {x \over 2}} \over {co{s^3}{x \over 2}}}\)           

D \(y' = {{2\sin {x \over 2}} \over {{{\cos }^3}{x \over 2}}}\)

A \(y' = \sin x\left( { - 6{x^3} + 17{x^2} + 4x - 2} \right) + \cos x\left( {6{x^3} + 19{x^2} - 2} \right)\)

B \(y' = \sin x\left( { - 6{x^3} + 17{x^2} + 4x - 2} \right) - \cos x\left( {6{x^3} + 19{x^2} - 2} \right)\)

C \(y' = \sin x\left( {6{x^3} + 19{x^2} - 2} \right) + \cos x\left( { - 6{x^3} + 17{x^2} + 4x - 2} \right)\)

D \(y' = \sin x\left( {6{x^3} + 19{x^2} - 2} \right) - \cos x\left( { - 6{x^3} + 17{x^2} + 4x - 2} \right)\)

A \(f'\left( x \right) = \left\{ \matrix{  2x - 3\,\,\,khi\,\,x > 1 \hfill \cr   2\,\,\,\,\,\,\,\,\,\,\,\,\,khi\,\,x \le 1 \hfill \cr}  \right.\)

B \(f'\left( x \right) = \left\{ \matrix{  2x - 3\,\,\,khi\,\,x > 1 \hfill \cr   2\,\,\,\,\,\,\,\,\,\,\,\,\,khi\,\,x < 1 \hfill \cr}  \right.\)

C Không tồn tại đạo hàm

D \(f'\left( x \right) = 2x - 3\)

A \(m \le \sqrt 2 \)

B \(m \le 2\)

C \(m \le 0\)

D \(m < 0\)