Trắc nghiệm Vi phân Toán Lớp 11

A. 9

B. -9

C. 90

D. -90

A. \(\mathrm{d} y=\frac{5 x}{\cos ^{2} 5 x} \mathrm{d} x\)

B. \(\mathrm{d} y =-\frac{5}{\sin ^{2} 5 x} \mathrm{d} x\)

C. \(\mathrm{d} y=\frac{5}{\cos ^{2} 5 x} \mathrm{d} x\)

D. \(\mathrm{d} y=-\frac{5}{\cos ^{2} 5 x} \mathrm{d} x\)

A. \(\mathrm{d} y=\frac{1}{7} \mathrm{d} x\)

B. \(\mathrm{d} y=7 \mathrm{d} x\)

C. \( \mathrm{d} y=-\frac{1}{7} \mathrm{d} x\)

D. \(\mathrm{d} y=-7 \mathrm{d} x\)

A. \(\begin{aligned} &\mathrm{d} y=-\frac{x^{2}-2 x-2}{(x-1)^{2}} \mathrm{d} x \end{aligned}\)

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

C. \(\begin{aligned} &\mathrm{d} y=-\frac{2 x+1}{(x-1)^{2}} \mathrm{d} x \end{aligned}\)

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

A. \(\mathrm{d} y=-2017 \sin (2017 x) \mathrm{d} x\)

B. \(\mathrm{d} y=\frac{2017}{\sin ^{2}(2017 x)} \mathrm{d} x\)

C. \(\mathrm{d} y=-\frac{2017}{\cos ^{2}(2017 x)} \mathrm{d} x\)

D. \(\mathrm{d} y=-\frac{2017}{\sin ^{2}(2017 x)} \mathrm{d} x\)

A. -0,07

B. 10

C. 1,1

D. -0,4

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

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

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

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

A. \(\mathrm{d} y=(x \cos x-\sin x) \mathrm{d} x\)

B. \(\mathrm{d} y=(x \cos x) \mathrm{d} x\)

C. \(\mathrm{d} y=(\cos x-\sin x) \mathrm{d} x\)

D. \(\mathrm{d} y=(x \sin x) \mathrm{d} x\)

A. \(\mathrm{d} y=\frac{2 \sqrt{x}}{4 x \sqrt{x} \cos ^{2} \sqrt{x}} \mathrm{d} x\)

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

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

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

A. \(\mathrm{d} y=-\sin 2 x \mathrm{d} x\)

B. \(\mathrm{d} y=\sin 2 x \mathrm{d} x\)

C. \(\mathrm{d} y=\sin x \mathrm{d} x\)

D. \(\mathrm{d} y=2 \cos x \mathrm{d} x\)

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

B. \(\mathrm{d} y=(-\cos x-3 \sin x) \mathrm{d} x\)

C. \(\mathrm{d} y=(\cos x+3 \sin x) \mathrm{d} x\)

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

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

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

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

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

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

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

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

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

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

B. \(\mathrm{d} y=-x^4 \mathrm{d} x\)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

A. \(\begin{aligned} &d y=\left(1+\tan ^{2} 2 x\right) dx \end{aligned}\)

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

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

D. \( d y=2\left(1+\tan ^{2} 2 x\right) d x\)

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

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

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

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

A. \(d y=10(3 x+1)^{9} d x\)

B. \(d y=30(3 x+1)^{10} d x\)

C. \(d y=9(3 x+1)^{10} d x\)

D. \(d y=30(3 x+1)^{9} d x\)

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

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

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

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

A. \(d y=\frac{3}{\sqrt{3 x+2}} d x\)

B. \(d y=\frac{1}{2 \sqrt{3 x+2}} d x\)

C. \(d y=\frac{1}{\sqrt{3 x+2}} d x\)

D. \(d y=\frac{3}{2 \sqrt{3 x+2}} d x\)

A. \(d y=\left(3 x^{2}-4 x\right) d x\)

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

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

D. \(d y=\left(3 x^{2}+4 x\right) d x\)

A. \(\mathrm{d} y=2(x-1) \mathrm{d} x\)

B. \(\mathrm{d} y=(x-1)^{2} \mathrm{d} x\)

C. \(\mathrm{d} y=2(x-1)\)

D. \(\mathrm{d} y=(x-1) \mathrm{d} x\)

A. \(d y=\frac{3}{\sqrt{3 x+2}} d x\)

B. \(d y=\frac{1}{2 \sqrt{3 x+2}} d x\)

C. \(d y=\frac{1}{\sqrt{3 x+2}} d x\)

D. \(d y=\frac{3}{2 \sqrt{3 x+2}} d x\)

A. \(d y=\left(3 x^{2}-4 x\right) d x\)

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

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

D. \(d y=\left(3 x^{2}+4 x\right) d x\)