100+ câu trắc nghiệm Giải tích 3 có đáp án - Phần 1

A. \({\rm{d}}y = 2\left( {x - 1} \right){\rm{d}}x\).

B. \({\rm{d}}y = {\left( {x - 1} \right)^2}{\rm{d}}x\).

C. \({\rm{d}}y = 2\left( {x - 1} \right)\).

D. \({\rm{d}}y = 2\left( {x - 1} \right){\rm{d}}x\).

A. \(dy = (3{x^2} - 4x)dx\)

B. \(dy = (3{x^2} + x)dx\)

C. \(dy = (3{x^2} + 2x)dx\)

D. \(dy = (3{x^2} + 4x)dx\)

A. \(dy = \frac{3}{{\sqrt {3x + 2} }}dx\)

B. \(dy = \frac{1}{{2\sqrt {3x + 2} }}dx\)

C. \(dy = \frac{1}{{\sqrt {3x + 2} }}dx\)

D. \(dy = \frac{3}{{2\sqrt {3x + 2} }}dx\)

A.\({\rm{d}}y = \left( {3{x^2} - 18x + 12} \right){\rm{d}}x\).

B. \({\rm{d}}y = \left( { - 3{x^2} - 18x + 12} \right){\rm{d}}x\).

C. \({\rm{d}}y = - \left( {3{x^2} - 18x + 12} \right){\rm{d}}x\).

D. \({\rm{d}}y = \left( { - 3{x^2} + 18x - 12} \right){\rm{d}}x\).

A. \(dy = 10{(3x + 1)^9}dx\)

B. \(dy = 30{(3x + 1)^{10}}dx\)

C. \(dy = 9{(3x + 1)^{10}}dx\)

D. \(dy = 30{(3x + 1)^9}dx\)

A. \(dy = \left( {\cos 2x + 3{{\sin }^2}x\cos x} \right)dx\)

B. \(dy = \left( {2\cos 2x + 3{{\sin }^2}x\cos x} \right)dx\)

C. \(dy = \left( {2\cos 2x + {{\sin }^2}x\cos x} \right)dx\)

D. \(dy = \left( {\cos 2x + {{\sin }^2}x\cos x} \right)dx\)

A. \(dy = (1 + {\tan ^2}2x)dx\)

B. \(dy = (1 - {\tan ^2}2x)dx\)

C. \(dy = 2(1 - {\tan ^2}2x)dx\)

D. \(dy = 2(1 + {\tan ^2}2x)dx\)

A. \(dy = \frac{1}{{\sqrt[3]{{{{(x + 1)}^2}}}}}dx\)

B. \(dy = \frac{3}{{\sqrt[3]{{{{(x + 1)}^2}}}}}dx\)

C. \(dy = \frac{2}{{\sqrt[3]{{{{(x + 1)}^2}}}}}dx\)

D. \(dy = \frac{1}{{3\sqrt[3]{{{{(x + 1)}^2}}}}}dx\)

A. \({\rm{d}}f(x) = \frac{{ - \sin 4x}}{{2\sqrt {1 + {{\cos }^2}2x} }}{\rm{d}}x\).

B. \({\rm{d}}f(x) = \frac{{ - \sin 4x}}{{\sqrt {1 + {{\cos }^2}2x} }}{\rm{d}}x\).

C. \({\rm{d}}f(x) = \frac{{\cos 2x}}{{\sqrt {1 + {{\cos }^2}2x} }}{\rm{d}}x\).

D. \({\rm{d}}f(x) = \frac{{ - \sin 2x}}{{2\sqrt {1 + {{\cos }^2}2x} }}{\rm{d}}x\).

A. \({\rm{d}}y = \left( {3{x^2} - 5} \right){\rm{d}}x\).

B. \({\rm{d}}y = - \left( {3{x^2} - 5} \right){\rm{d}}x\).

C. \({\rm{d}}y = \left( {3{x^2} + 5} \right){\rm{d}}x\).

D. \({\rm{d}}y = \left( {3{x^2} - 5} \right){\rm{d}}x\).

A. \({\rm{d}}y = \frac{1}{4}{\rm{d}}x\).

B. \({\rm{d}}y = \frac{1}{{{x^4}}}{\rm{d}}x\).

C. \({\rm{d}}y = - \frac{1}{{{x^4}}}{\rm{d}}x\).

D. \({\rm{d}}y = {x^4}{\rm{d}}x\).

A. \({\rm{d}}y = \frac{{{\rm{d}}x}}{{{{\left( {x - 1} \right)}^2}}}\).

B. \({\rm{d}}y = \frac{{3{\rm{d}}x}}{{{{\left( {x - 1} \right)}^2}}}\).

C. \({\rm{d}}y = \frac{{ - 3{\rm{d}}x}}{{{{\left( {x - 1} \right)}^2}}}\).

D. \({\rm{d}}y = - \frac{{{\rm{d}}x}}{{{{\left( {x - 1} \right)}^2}}}\).

A. \({\rm{d}}y = - \frac{{{x^2} - 2x - 2}}{{{{(x - 1)}^2}}}{\rm{d}}x\).

B. \({\rm{d}}y = \frac{{2x + 1}}{{{{(x - 1)}^2}}}{\rm{d}}x\).

C. \({\rm{d}}y = - \frac{{2x + 1}}{{{{(x - 1)}^2}}}{\rm{d}}x\).

D. \({\rm{d}}y = \frac{{{x^2} - 2x - 2}}{{{{(x - 1)}^2}}}{\rm{d}}x\).

A. \({\rm{d}}y = \left( { - \cos x + 3\sin x} \right){\rm{d}}x\).

B. \({\rm{d}}y = \left( { - \cos x - 3\sin x} \right){\rm{d}}x\).

C. \({\rm{d}}y = \left( {\cos x + 3\sin x} \right){\rm{d}}x\).

D. \({\rm{d}}y = - \left( {\cos x + 3\sin x} \right){\rm{d}}x\).

A. \[{\rm{d}}y = -\sin 2x\,{\rm{d}}x\].

B. \[{\rm{d}}y = \sin 2x\,{\rm{d}}x\].

C. \[{\rm{d}}y = \sin x\,{\rm{d}}x\].

D. \[{\rm{d}}y = {\rm{2cos}}x\,{\rm{d}}x\].

A. \[{\rm{d}}y = \frac{{2\sqrt x }}{{4x\sqrt x {{\cos }^2}\sqrt x }}{\rm{d}}x\].

B. \[{\rm{d}}y = \frac{{\sin (2\sqrt x )}}{{4x\sqrt x {{\cos }^2}\sqrt x }}{\rm{d}}x\].

C. \[{\rm{d}}y = \frac{{2\sqrt x - \sin (2\sqrt x )}}{{4x\sqrt x {{\cos }^2}\sqrt x }}{\rm{d}}x\].

D. \[{\rm{d}}y = - \frac{{2\sqrt x - \sin (2\sqrt x )}}{{4x\sqrt x {{\cos }^2}\sqrt x }}{\rm{d}}x\].

A. \[{\rm{d}}y = \left( {x\cos x-\sin x} \right){\rm{d}}x\].

B. \[{\rm{d}}y = \left( {x\cos x} \right){\rm{d}}x\].

C. \[{\rm{d}}y = \left( {\cos x-\sin x} \right){\rm{d}}x\]..

D. \[{\rm{d}}y = \left( {x\sin x} \right){\rm{d}}x\].

A. \[dy = \frac{{1 - {x^2}}}{{{{({x^2} + 1)}^2}}}dx\]

B. \[dy = \frac{{2x}}{{({x^2} + 1)}}dx\]

C. \[dy = \frac{{1 - {x^2}}}{{({x^2} + 1)}}dx\]

D. \[dy = \frac{1}{{{{({x^2} + 1)}^2}}}dx\]

A. .$dy=2(x-1)dx$

B.$dy=2(x-1)$

C.$dy=(x-1)dx$

D.$dy={(x-1)}^{2}dx$

A.-0,07

B.10.

C.1,1

D. - 0,4

A. $dy=-2017\sin \left(2017x\right)dx$

B. $dy=\frac{2017}{{\sin }^2\left(2017x\right)}dx$

C. $dy=\frac{-2017}{co{s}^2\left(2017x\right)}dx$

D. $dy=\frac{-2017}{{\sin }^2\left(2017x\right)}dx$

A. $dy=\frac{-x^2-2x-2}{{(x-1)}^2}$$dx$

B. $dy=\frac{2x+1}{{(x-1)}^2}dx$

C. $dy=-\frac{2x+1}{{(x-1)}^2}dx$

D. $dy=\frac{x^2-2x-2}{{(x-1)}^2}$$dx$

A. $dy=\frac{1}{7}dx$

B.$dy=7dx$

C. $dy=\frac{-1}{7}dx$

D. $dy=-7dx$

A. $dy=\frac{5x}{{\cos }^{2}5x}$$dx$

B. $dy=\frac{-5x}{{\sin }^{2}5x}$$dx$

C. $dy=\frac{5}{co{s}^{2}5x}$$dx$

A. 9.

B. -9.

C. 90.

D. -90.