Trắc nghiệm Đạo hàm cấp hai Toán Lớp 11

A. 4sin 2x + 4xcos 2x

B. - 4sin 2x + 4xcos 2x

C. 4sin 2x - 4xcos 2x

D. - 4sin 2x - 4xcos 2x

A. 9sin 6x - sin 2x + 4sin 4x

B. 9sin 6x + sin 2x - 4sin 4x

C. 9sin 6x - sin 2x - 4sin 4x

D. 9sin 6x + sin 2x + 4sin 4x

A. \(\left( {{x^2} +3} \right)\cos x - 4x\sin x \)

B. \(\left( {{x^2} + 3} \right)\cos x + 4x\sin x \)

C. \(\left( {{x^2} - 3} \right)\cos x + 4x\sin x \)

D. \(\left( {{x^2} - 3} \right)\cos x- 4x\sin x \)

A. \(\dfrac{{3x - 2{x^3}}}{{\left( {1 + {x^2}} \right)\sqrt {1 + {x^2}} }}\)

B. \(\dfrac{{3x + 2{x^3}}}{{\left( {1 + {x^2}} \right)\sqrt {1 + {x^2}} }}\)

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

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

A. \(\left( {2 - {x^2}} \right)\sin x + 4x\cos x\)

B. \(\left( {2+{x^2}} \right)\sin x + 4x\cos x\)

C. \(\left( {2 - {x^2}} \right)\sin x - 4x\cos x\)

D. \(\left( {2 + {x^2}} \right)\sin x - 4x\cos x\)

A. \(\dfrac{3}{{{{\left( {x - 2} \right)}^3}}}\)

B. \(\dfrac{4}{{{{\left( {x - 2} \right)}^3}}}\)

C. \(\dfrac{5}{{{{\left( {x - 2} \right)}^3}}}\)

D. \(\dfrac{6}{{{{\left( {x - 2} \right)}^3}}}\)

A. \(\dfrac{2}{{{{\left( {x + 1} \right)}^3}}} - \dfrac{2}{{{{\left( {x - 1} \right)}^3}}}\)

B. \(\dfrac{2}{{{{\left( {x + 1} \right)}^3}}} + \dfrac{2}{{{{\left( {x - 1} \right)}^3}}}\)

C. \(\dfrac{1}{{{{\left( {x + 1} \right)}^3}}} + \dfrac{1}{{{{\left( {x - 1} \right)}^3}}}\)

D. \(\dfrac{1}{{{{\left( {x + 1} \right)}^3}}} - \dfrac{1}{{{{\left( {x - 1} \right)}^3}}}\)

A. \(2\left( {\dfrac{1}{{{{\left( {x - 1} \right)}^3}}} -\dfrac{1}{{{{\left( {x + 2} \right)}^3}}}} \right)\)

B. \(2\left( {\dfrac{1}{{{{\left( {x - 1} \right)}^3}}} + \dfrac{1}{{{{\left( {x + 2} \right)}^3}}}} \right)\)

C. \(3\left( {\dfrac{1}{{{{\left( {x - 1} \right)}^3}}} + \dfrac{1}{{{{\left( {x + 2} \right)}^3}}}} \right)\)

D. \(3\left( {\dfrac{1}{{{{\left( {x - 1} \right)}^3}}} - \dfrac{1}{{{{\left( {x + 2} \right)}^3}}}} \right)\)

A. \( - \dfrac{1}{2}\left( {49\sin 7x + 9\sin 3x} \right)\)

B. \(\dfrac{1}{2}\left( {49\sin 7x + 9\sin 3x} \right)\)

C. \( - \dfrac{1}{2}\left( {49\sin 7x - 9\sin 3x} \right)\)

D. \( - \dfrac{1}{2}\left( {49\sin6x + 9\sin 3x} \right)\)

A. \(\begin{array}{llll} y=7 x+2 \end{array}\)

B. \(y=7 x-1\)

C. \(y=-7 x+1\)

D. \( y=-7 x-2 .\)

A. \(y=-4(x-1)-3\)

B. \( y=-5(x-1)+1\)

C. \(y=-5(x-1)-2 .\)

D. \(y=-3(x-1)-2 .\)

A. \(\begin{array}{ll} y^{(n)}=\frac{(-1)^{n} \cdot 3 \cdot n !}{(x+3)^{n+1}}+\frac{(-1)^{n} \cdot 2 \cdot n !}{(x+2)^{n+1}} \end{array}\)

B. \(y^{(n)}=\frac{(-1)^{n} \cdot 3 \cdot n !}{(x+3)^{n-1}}-\frac{(-1)^{n} \cdot 2 \cdot n !}{(x+2)^{n-1}} \)

C. \(y^{(n)}=\frac{(-1)^{n} \cdot 3 \cdot n !}{(x+3)^{n+1}}-\frac{(-1)^{n} \cdot 2 \cdot n !}{(x+2)^{n+1}}\)

D. \( y^{(n)}=\frac{(-1)^{n} \cdot 3 \cdot n !}{(x+3)^{n}}-\frac{(-1)^{n} \cdot 2 \cdot n !}{(x+2)^{n}}\)

A. \(\begin{array}{ll} y^{(n)}=\frac{5 \cdot(-1)^{n} \cdot n !}{(x-2)^{n+1}}+\frac{3 \cdot(-1)^{n} \cdot n !}{(x-1)^{n+1}} \end{array}\)

B. \(y^{(n)}=\frac{5 \cdot(-1)^{n} \cdot n !}{(x-2)^{n+1}}-\frac{3 \cdot(-1)^{n} \cdot n !}{(x-1)^{n+1}}\)

C. \(y^{(n)}=\frac{5 \cdot(-1)^{n} \cdot n !}{(x-2)^{n+1}}: \frac{3 \cdot(-1)^{n} \cdot n !}{(x-1)^{n+1}} \)

D. \(y^{(n)}=\frac{5 \cdot(-1)^{n} \cdot n !}{(x+2)^{n+1}}-\frac{3 \cdot(-1)^{n} \cdot n !}{(x-1)^{n+1}} \)

A. \(\begin{array}{ll} y^{(n)}=\frac{(-1)^{n+1} \cdot 3.5 \ldots(3 n-1)}{\sqrt{(2 x+1)^{2 n-1}}} \end{array}\)

B. \(y^{(n)}=\frac{(-1)^{n+1} \cdot 3.5 \ldots(2 n-1)}{\sqrt{(2 x+1)^{2 n-1}}}\)

C. \(y^{(n)}=\frac{(-1)^{n-1} \cdot 3.5 \ldots(2 n-1)}{\sqrt{(2 x+1)^{2 n-1}}}\)

D. \(y^{(n)}=\frac{(-1)^{n+1} \cdot 3.5 \ldots(2 n-1)}{\sqrt{(2 x+1)^{2 n+1}}} \)

A. \(\begin{aligned} &y^{(n)}=(-1)^{n} \cos \left(2 x+n \frac{\pi}{2}\right) \end{aligned}\)

B. \(y^{(n)}=2^{n} \cos \left(2 x+\frac{\pi}{2}\right)\)

C. \( y^{(n)}=2^{n} \cos \left(2 x+n \frac{\pi}{2}\right)\)

D. \(y^{(n)}=2^{n+1} \cos \left(2 x+n \frac{\pi}{2}\right)\)

A. \(\begin{aligned} &y^{(n)}=\frac{(2)^{n} \cdot 7 \cdot n !}{(x-2)^{n+1}}-\frac{(1)^{n} \cdot 5 \cdot n !}{(x-3)^{n+1}} \end{aligned}\)

B. \(y^{(n)}=\frac{(-1)^{n+1} \cdot 7 \cdot n !}{(x-2)^{n+1}}-\frac{(-1)^{n+1} \cdot 5 \cdot n !}{(x-3)^{n+1}}\)

C. \(y^{(n)}=\frac{(-1)^{n} \cdot 7 \cdot n !}{(x-2)^{n}}-\frac{(-1)^{n} \cdot 5 \cdot n !}{(x-3)^{n}} \)

D. \(y^{(n)}=\frac{(-1)^{n} \cdot 7 \cdot n !}{(x-2)^{n+1}}-\frac{(-1)^{n} \cdot 5 \cdot n !}{(x-3)^{n+1}}\)

A. \(y+16=-9(x+3)\)

B. \(y-16=-9(x-3) \)

C. \(y=-9(x+3)\)

D. \(y-16=-9(x+3)\)

A. 1

B. 2

C. 3

D. 4

A. \(y^{\prime}=10 \cos 5 x\)

B. \(y^{\prime}=5 \cos 10 x\)

C. \(y^{\prime}=5 \sin 10 x\)

D. \(y^{\prime}=10 \sin 10 x\)

A. 12

B. 3

C. 5

D. 4

A. \(y=-2 x-1\)

B. \(y=2 x+1\)

C. \(y=2 x-1\)

D. \(y=x-2\)

A. \(y=18 x-49\)

B. \(y=-18 x-49\)

C. \(y=-18 x+49\)

D. \(y=18 x+49\)

A. \(y=3 x+5\)

B. \(y=-3 x+1\)

C. \(y=3 x+11\)

D. \(y=-3 x-1\)

A. \(y=3 x+5\)

B. \(y=-3 x+1\)

C. \(y=3 x+13\)

D. \(y=-3 x-1\)

A. cos2x+ 4cos4x +9cos6x

B. –cos2x -4cos4x – 9cos6x

C. –cosx-4cos2x-9cos3x

D. \( - \frac{1}{4}\cos 2x + \frac{1}{4}\cos 4x - \frac{1}{4}\cos 6x\)

A. \({2^4}\sin \left( {2x +4\frac{\pi }{2}} \right)\)

B. \({2^3}\sin \left( {2x + 4\frac{\pi }{2}} \right)\)

C. \({2^3}\sin \left( {2x -3\frac{\pi }{2}} \right)\)

D. \({2^3}\sin \left( {2x + 3\frac{\pi }{2}} \right)\)

A. 9x2−12x+sinx

B. 9x2−12x−sinx

C. 9x2−6x−sinx

D. 9x2−12x+cosx

A. y= 3(x+1)+1

B. y= -3(x-1)+1

C. y= -3(x+1)+1 

D. y= -3(x-1)-1

A. -4sin2x

B. -4x.cos2x

C. -4sin2x - 4x.cos2x

D. 4sin2x + 4x.cos2x

A. 2sinx + 4x.cosx – x2sinx.

B. 2.sinx + 4x.cosx-sin2x

C. 2sinx + 4x.cosx

D. Đáp án khác

A. 2160; 4320

B. 4320; 2160

C. 1640; 4270

D. 4270; 1640

A. 16 - 8sin 2x

B. 24 - 8sin2x

C. 24 - 16sin2x

D. 16 - 24sin2x

A. sin2x

B. 2 sin2x

C. sin 4x

D. 4sin2x

A. -12sinx - 8cos 2x

B. -12sin2x + 8cos2x

C. 12sin2x - 8cos2x

D. -12sin2x -8 cos2x. 

A. y + 2x - 1,5 = 0

B. 2x – y + 1,5 = 0

C. -2x + y + 1,5 = 0

D. 2x + y + 1,5 = 0

A. y + x – 6 = 0

B. x – y + 6 = 0

C. -x + y + 6 = 0

D. không có đường thẳng nào

A. y + x – 6 = 0

B. x – y + 6 = 0

C. - x + y + 6 = 0

D. x + y + 6 = 0

A. \(\frac{4}{3}\)

B. \(-\frac{4}{3}\)

C. \(\frac{1}{3}\)

D. - 1

A. 1

B. 3

C. 4

D. 2

A. y = x + 4.

B. \(\left[ \begin{array}{l} y = x - 2\\ y = x + 4 \end{array} \right.\)

C. \(\left[ \begin{array}{l} y = x - 2\\ y = x + 6 \end{array} \right.\)

D. Không tồn tại.

A. y = x + 2018.

B. y = x + 4.

C. y = x – 4; y = x + 28.

D. y = x - 2018.

A. y– 16 = -9(x + 3).

B. y = -9(x + 3).

C. y – 16 = -9(x – 3).

D. y + 16 = -9(x + 3).

A. x = -3.

B. y = -4.

C. y = 4.

D. x = 3.

A. y = 8x – 6, y = -8x – 6.

B. y = 8x = 6, y = -8x + 6.

C. y = 8x – 8, y = -8x + 8.

D. y = 40x – 57.

A. - 3

B. 3

C. 4

D. 0

A. y = 10x + 4.

B. y = 10x – 5.

C. y = 2x – 4.

D. y = 2x – 5.

A. y = 2x – 4.

B. y = 3x + 1.

C. y = - 2x + 4.

D. y = 2x.

A. y = 2x + 1

B. y = x + 1

C. y = x + 2

D. y = x - 1

A. y = 2x + 1

B. y = 2x - 6

C. y = x + 2

D. y = x - 12

A. y = 9x + 2

B. y = 9x - 16

C. y = 9x + 8

D. y = 9x - 2