30 câu trắc nghiệm: Hàm số lũy thừa có đáp án

A. α < 1

B. $0<\alpha <\frac{1}{2}$

C. $\alpha <0hoặca>\frac{1}{2}$

D. α > 1

A. b,c,d,a

B. a,b,c,d

C. c,d,a,b

D. d,b,c,a

A. $y=-\frac{2x+1}{\sqrt[3]{x^2+x+1}}$

B. $y=-\frac{2x+1}{3.\left(x^2+x+1\right)\sqrt[3]{x^2+x+1}}$

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

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

A. $y\text{'}=\frac{7}{8\sqrt[8]{x}}$

B. $y\text{'}=\frac{7}{8}{x}^{\frac{1}{8}}$

C. $y\text{'}=\frac{3}{8\sqrt[8]{x^5}}$

D. $y\text{'}=\frac{5}{4}\sqrt[4]{x}$

A. $\left(\frac{1}{2};1\right)$

B. $\left(\frac{1}{\sqrt[4]{8}};\sqrt[4]{2}\right)$

C. $\left(\frac{1}{\sqrt[3]{4}};\sqrt[3]{2}\right)$

D. $\left(\frac{1}{2\sqrt[3]{2}};\frac{1}{\sqrt[3]{2}}\right)$

A. 0 < α < 1

B. α > 1

C. 1/5 < α < 4

D. 1/4 < α < 5

A. Hàm số nghịch biến trên (0;2).

B. Hàm số nghịch biến trên khoảng (5; +∞) .

C. Hàm số đồng biến trên (2; +∞).

D. Hàm số không có điểm cực trị nào.

A. x = 1

B. $x=\frac{2}{3}$

C. $x=\frac{4}{9}$

D. $x=-\frac{2}{3}$

A. x=4 và x=8/7.

B. x=4.

C. x=2.

D. x=2 và x = 4/9.

A. $miny=2,maxy=\sqrt[4]{2}$

B. $maxy=2,miny=0$

C. $maxy=2\sqrt{2},miny=0$

D. $maxy=2,miny=\sqrt[4]{2}$

A. $y=x^{2-\sqrt{5}}$

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

C. $y=\frac{1}{x^{1-\sqrt{2}}}$

D. $y=\frac{1}{x^{\frac{1}{3}}}$

A. $3^{-\sqrt{2}}<{\left(\frac{1}{5}\right)}^{\sqrt{2}}$

B. ${\left(\frac{6}{7}\right)}^{\sqrt{2}}>{\left(\frac{7}{8}\right)}^{\sqrt{2}}$

C. ${\left(\frac{1}{4}\right)}^{\sqrt{2}}<{\left(\sqrt{2}\right)}^{200}$

D. ${\left(\frac{1}{4}\right)}^{-\pi }<{\left(\frac{1}{3}\right)}^{-\pi }$

A. ${\left(1,5\right)}^{-0,2}$

B. ${\left(0,4\right)}^{-0,3}$

C. ${\left(\frac{2}{3}\right)}^{0,5}$

D. ${\left(\frac{\pi }{4}\right)}^e$

A. d,c,a,b.

B.d,c,b,a.

C. c,d,b,a.

D.c,a,b,d.

A. $y\text{'}=\frac{1}{5}\sqrt[5]{x^4}+10\sqrt{x^3}$

B. $y\text{'}=\frac{1}{2\sqrt[5]{x}}+\frac{10x^4}{\sqrt{x^5}}$

C. $y\text{'}=\frac{1}{5\sqrt[5]{x^4}}+10\sqrt{x^3}$

D. $y\text{'}=\frac{1}{2\sqrt[5]{x}}+\frac{2}{\sqrt{x^5}}$

A. $y\text{'}=\frac{3\left(2x-1\right)}{4\sqrt[4]{x^2-x+3}}$

B. $y\text{'}=\frac{3\left(2x-1\right)}{2\sqrt[4]{x^2-x+3}}$

C. $y\text{'}=\frac{3}{4\sqrt[4]{x^2-x+3}}$

D. $y\text{'}=\frac{3}{2\sqrt[4]{x^2-x+3}}$

A. $y=\frac{1}{80}x+\frac{79}{40}$

B. $y=\frac{1}{80}x+\frac{8}{5}$

C. $y=\frac{1}{80}x$

D. $y=-\frac{1}{80}x+\frac{8}{5}$

A. 7

B. 25

C. 73

D. 337

A. $\left(\sqrt[9]{32};\sqrt[9]{2}\right)$

B. $\left(\sqrt[9]{4};\sqrt[9]{64}\right)$

C. $\left(2\sqrt[3]{4};\sqrt[3]{16}\right)$

D. $\left(\sqrt[9]{32};\frac{1}{2}\sqrt[9]{32}\right)$

A. 0 < α < 1/2

B. 0 < α < 1

C. 1/2 < α < 2

D. α > 1

A. $\left(0;\frac{1}{16}\right)$

B. $\left(0;\frac{1}{4}\right)$

C. $\left(\frac{1}{16};+\infty \right)$

D. $\left(\frac{1}{4};+\infty \right)$

A. x=1

B. x=2

C. x=1 và x=2

D. x=2 và x=-1

A. x=2

B. $x=\frac{3}{2}$

C. x=6

D. x=4

A. $maxy=2\sqrt[4]{2},miny=1$

B. $maxy=2\sqrt[4]{2},miny=\sqrt[4]{2}$

C. $maxy=\sqrt[4]{8},miny=1$

D. $maxy=\sqrt[4]{8},miny=\sqrt[4]{2}$

A. $\underset{\left(1;10\right)}{max}y=8;\underset{\left(1;10\right)}{min}=0$

B. $\underset{\left(1;10\right)}{max}y=48;\underset{\left(1;10\right)}{min}={10}^{\frac{5}{3}}$

C. $\underset{\left(1;10\right)}{max}y=15.5^{\frac{2}{3}};\underset{\left(1;10\right)}{min}=19$

D. $\underset{\left(1;10\right)}{max}y=48;\underset{\left(1;10\right)}{min}=19$

A. $\alpha >2\sqrt[3]{2}$

B. $\alpha >\frac{1}{2\sqrt[3]{2}}$

C. $0<\alpha <2\sqrt[3]{2}$

D. $0<\alpha <\frac{1}{2\sqrt[3]{2}}$

A. $\sqrt{3\sqrt{5}}$

B. $\sqrt{2\sqrt{11}}$

C. $\sqrt{4\sqrt{3}}$

D. $\sqrt{5\sqrt{2}}$

A. $y\text{'}=\frac{5}{12}{x}^{-\frac{7}{12}}$

B. $y\text{'}=\frac{1}{\sqrt[3]{{\left(\sqrt[3]{x\sqrt[3]{x\sqrt[3]{x}}}\right)}^2}}$

C. $y\text{'}=\frac{13}{27}{x}^{-\frac{14}{27}}$

D. $y\text{'}=\frac{1}{9}{x}^{-\frac{8}{9}}$

A. $\sqrt{\sqrt[3]{5.6}}$

B. $\sqrt{6\sqrt[3]{5}}$

C. $\sqrt{5\sqrt[3]{6}}$

D. $\sqrt[3]{5\sqrt{6}}$

A. $y=\frac{a^a{b}^b}{{\left(a+b\right)}^{ab}}$

B. $y=\frac{a^b{b}^a}{{\left(a+b\right)}^{ab}}$

C. $y=\frac{a^a{b}^b}{{\left(a+b\right)}^{a+b}}$

D. $y=\frac{a^b{b}^a}{{\left(a+b\right)}^{a+b}}$