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A \(f'\left( x \right) = 2\)

B \(f'\left( 2 \right) = 3\)

C \(f'\left( x \right) = 3\)

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

A \(\mathop {\lim }\limits_{x \to  - 1} {{f\left( x \right) + f\left( { - 1} \right)} \over {x + 1}} = f'\left( { - 1} \right)\)

B \(\mathop {\lim }\limits_{x \to  - 1} {{f\left( x \right) + f\left( 1 \right)} \over {x + 1}} = f'\left( { - 1} \right)\)

C \(\mathop {\lim }\limits_{x \to  - 1} {{f\left( x \right) - f\left( { - 1} \right)} \over {x + 1}} = f'\left( { - 1} \right)\)

D \(\mathop {\lim }\limits_{x \to  - 1} {{f\left( x \right) - f\left( { - 1} \right)} \over {x - 1}} = f'\left( x \right)\)

A \( - 3\)

B \( - 2\)

C \( - 4\)

D \( - 1\)

A \(k =  - 1\)

B \(k =  1\)

C \(k =  - 7\)

D \(k =  - 2\)

A 3

B 0

C 2

D 1

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

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

C \(y' = 3x + 2x + 4\)

D \(y' = 3{x^2} + 4x + 4 + 5\)

A \(y' = 1 - {1 \over {{x^2}}} + {4 \over {{x^3}}}\)

B \(y' = 1 + {1 \over {{x^2}}} - {4 \over {{x^4}}}\)

C \(y' = 1 - {1 \over {{x^2}}} - {2 \over {{x^4}}}\)

D \(y' = 1 - {1 \over {{x^2}}} - {4 \over {{x^3}}}\)

A

\(x = 0\) hoặc \(x = 1\)

B \(x =  - 1\) hoặc \(x =  - {5 \over 2}\)

C \(x = 1\) hoặc \(x = {5 \over 2}\)          

D \(x = 0\)

A \(y = 2x - 1\)

B \(y = {1 \over 2}x + 4\)

C \(y =  - 2x + 1\)

D \(y =  - 2x + 7\)

A \(x = m - 1\)

B \(y = 0\)

C \(y = m - 1\)

D \(y = m - 3\)

A \(2 + {{x + 2} \over 4}\)

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

C \(2 + {{x + 2} \over 2}\)

D \(2 + \sqrt {x + 2} \)

A \(f'\left( x \right) = 2x\sqrt {{x^2} - 2x + 4}  + {{\left( {x - 1} \right)\left( {{x^2} - 3} \right)} \over {\sqrt {{x^2} - 2x + 4} }}\)

B \(f'\left( x \right) = 2x{{\left( {x - 1} \right)\left( {{x^2} - 3} \right)} \over {\sqrt {{x^2} - 2x + 4} }}\)

C \(f'\left( x \right) = 2x\sqrt {{x^2} - 2x + 4}  + {{{x^2} - 3} \over {2\sqrt {{x^2} - 2x + 4} }}\)

D \(f'\left( x \right) = \left( {2x - 3} \right)\sqrt {{x^2} - 2x + 4}  + {{\left( {x - 1} \right)\left( {{x^2} - 3} \right)} \over {\sqrt {{x^2} - 2x + 4} }}\)

A \(\left( { - \infty ; - 1} \right);\left( {1; + \infty } \right)\)       

B \(\left( {0;{4 \over 5}} \right)\)

C Không tồn tại m          

D \(\left( { - 1;0} \right);\left( {{4 \over 5};1} \right)\)

A \(\left( {0;2} \right)\)

B \(\left( { - \infty ;0} \right)\)

C \(\left( {2; + \infty } \right)\)

D \(\left( { - \infty ;0} \right) \cup \left( {2; + \infty } \right)\)

A 0

B \( - {1 \over 2}\)

C \( {1 \over 2}\)

D \(-2\)

A \(y' = {1 \over {{{\cos }^2}x\sqrt {1 + 2\tan x} }}\)

B \(y' = {1 \over {{{\sin }^2}x\sqrt {1 + 2\tan x} }}\)

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

D \(y' = {1 \over {2\sqrt {1 + 2\tan x} }}\)

A 1

B 2

C 3

D 4

A \(y' = \sin \left( {x + {\pi  \over 2}} \right)\)

B \(y'' = \sin \left( {x + \pi } \right)\)

C \(y''' = \sin \left( {x + {{3\pi } \over 2}} \right)\)

D \({y^{\left( 4 \right)}} = \sin \left( {2\pi  - x} \right)\)

A \(\left( {{1 \over 4};{{ - 4} \over 3}} \right)\)

B \(\left( { - {1 \over 4}; - {4 \over 5}} \right)\)

C \(\left( {{3 \over 4}; - 4} \right)\)

D \(\left( { - {3 \over 4}; - {4 \over 7}} \right)\)

A \({x_0} =  - 1\)

B \({x_0} = 5\)

C \({x_0} = 12\)

D \({x_0} = 6\)