$$\left(-\infty;-\frac{1}{3}\right)\cup\left(\frac{1}{3};+\infty\right)$$  

$$\left(\frac{-1}{3};\frac{1}{3}\right)$$  

$$R\ \ \ \left\{\frac{-1}{3};\frac{1}{3}\right\}$$  

R

$$y=x^3+3x^2-3x+1$$  

$$y=x^3-3x-1$$  

$$y=-x^3-3x^2-3x-1$$  

$$y=\frac{1}{3}x^3+3x-1$$  

a,c,d >0; b<0

a,d >0; b,c <0

a,b,c <0; d>0

a,b,d >0; c<0

$$S_{xq}=\frac{1}{3}\pi rl$$  

$$S_{xq}=\pi rl$$  

$$S_{xq}=\pi rh$$  

$$S_{xq}=2r\pi l$$  

15

14

28

84

$$\frac{10a^3\sqrt[]{2}}{3}$$  

$$\frac{8a^3\sqrt[]{3}}{3}$$  

$$\frac{8a^3\sqrt[]{2}}{3}$$  

$$\frac{10a^3\sqrt[]{3}}{3}$$  

$$\frac{10\pi}{3}$$  

$$\frac{50\pi}{3}$$  

$$50\pi$$  

$$10\pi$$  

36

48

27

54

$$3\sqrt[]{5};\ 16\pi$$  

$$3\sqrt[]{2};\ 18\pi$$  

$$3\sqrt[]{5};\ 18\pi$$  

$$3;\ 18\pi$$  

(2;5)

(-2;2)

(-2;0)

(0;2)

Hình cầu

Hình trụ

Hình nón

Mặt nón

$$l=a$$  

$$l=\sqrt[]{2}a$$  

$$l=\sqrt[]{3}a$$  

$$l=2a$$  

$$\sqrt[]{h^2-R^2}$$  

$$\sqrt[]{h^2+R^2}$$  

$$2\sqrt[]{h^2-R^2}$$  

$$2\sqrt[]{h^2+R^2}$$  

một hình chữ nhật

một tam giác cân

một đường elip

một đường tròn

$$\frac{\sqrt[]{2}}{2}\pi a^2$$  

$$\frac{9\sqrt[]{2}}{2}\pi a^2$$  

$$9\pi a^2$$  

$$\pi a^2$$  

$$2\pi R^2$$

$$\pi R^2\sqrt{2}$$

$$\frac{\pi R^2\sqrt{2}}{2}$$

$$\frac{\pi R^2}{2}$$

$$\frac{4\pi a^3}{3}$$

$$\frac{\pi a^3}{3}$$

$$\frac{2\pi a^3}{3}$$

$$\frac{2\sqrt{2}\pi a^3}{3}$$

$$V=\frac{1}{3}\pi r^2h$$  

$$V=\frac{1}{2}\pi r^2h$$  

$$V=\frac{1}{3}\pi rh$$  

$$V=\pi rl$$  

$$S_{xq}=2\pi rl$$  

$$S_{xq}=\pi rl$$  

$$S_{xq}=\frac{1}{3}\pi rl$$  

$$S_{xq}=\frac{1}{3}\pi r^2h$$  

$$r=1cm$$  

$$r=3cm$$  

$$r=\sqrt[]{41}cm$$  

$$r=2cm$$  

Tam giác

Tam giác cân

Tam giác vuông

Hình chữ nhật

Hình tam giác vuông

Hình tam giác đều

Hình chữ nhật

$$48\pi$$

$$60\pi$$

$$96\pi$$

$$124\pi$$

$$96\pi$$

$$128\pi$$

$$144\pi$$

$$288\pi$$

$$128\pi$$  

$$384\pi$$  

$$200\pi$$  

$$80\pi$$  

$$a^{\alpha+\beta}=a^{\alpha}+a^{\beta},\ a>0$$

$$\frac{a^{\alpha}}{a^{\beta}}=a^{\alpha-\beta}$$ , $$\forall a>0$$

$$\left(a^{\alpha}\right)^{\beta}=a^{\alpha.\beta},a>0$$

$$a^{\alpha}>a^{\beta}\Longleftrightarrow\alpha<\beta$$ (với 0< a<1)

$$a^{\alpha}>a^{\beta}\Longrightarrow\alpha>\beta$$ ( với a >1)

$$a^{\frac{3}{2}}$$  

$$a^{\frac{2}{5}}$$  

$$a^{\frac{1}{5}}$$  

$$a^{\frac{1}{2}}$$  

$$\sqrt[3]{a}^2$$  

$$\sqrt[]{a}^3$$  

$$\sqrt[]{a}$$  

$$\sqrt[3]{a}$$  

$$a^{\frac{1}{5}}$$  

$$a^5$$  

$$a^4$$  

$$a^{-4}$$  

$$a^{\frac{m}{n}}$$  

$$a^{\frac{n}{m}}$$  

$$a^{m-n}$$  

$$a^{n-m}$$  

$$a^{\frac{10}{3}}$$  

$$a^{\frac{1}{3}}$$  

$$a^{\frac{3}{10}}$$  

$$a^3$$  

$$y=x^{\sqrt[]{5}}.$$

$$y=x^{\frac{2}{3}}.$$  

$$y=3^x.$$  

$$y=x^{-4}.$$  

$$D=R\ \left\{1\right\}$$  

$$D=R$$  

$$D=\left(1;+\infty\right)$$  

$$D=\left(-\infty;1\right)$$  

$$D=\left(-\infty;1\right)$$  

$$D=\left(1;+\infty\right)$$  

$$D=R$$  

$$D=\left(-1;1\right)$$  

$$a<0$$  

$$a>0$$  

$$a\ne0$$  

$$a\ne1$$  

 $x=\frac{4}{3}$  

 $x=\frac{3}{4}$  

 $x=3$  

 $x=5$  

$$22^6$$  

$$22^{14}$$  

1

22

$$2^6$$  

$$2^7$$  

$$2^8$$  

$$2^9$$  

a⁵⁶

a¹⁴

a¹⁵

a

$$\left(a^x\right)^y=a^x+a^y$$  

$$\left(a^x\right)^y=a^x.a^y$$  

$$\left(a^x\right)^y=a^{xy}$$  

$$\left(a^x\right)^y=a^{\left(x-y\right)}$$  

$$\beta>\alpha>\gamma$$

$$\gamma>\beta>\alpha$$

$$\alpha>\beta>\gamma$$

$$\beta>\gamma>\alpha$$

R

$$\left(1;+\infty\right)$$  

$$\left(-1;1\right)$$  

R\ $$\left\{-1;1\right\}$$  

$$a^n=a.a.a...a$$ ( n thừa số a, n là số tự nhiên khác 0, a bất kì)

$$a^0=1,\forall a\ne0$$

$$a^{\frac{m}{n}}=^m\sqrt{a^n},\forall a>0$$

$$a^n=\frac{1}{a^{-n}},\forall a$$ , n là số nguyên

$$^3\sqrt{^3\sqrt{^3\sqrt{^3\sqrt{a}}}}=a^{\frac{1}{81}}$$

$$y'=-5x^{-4}$$  

$$y'=-5x^6$$  

$$y'=-\frac{1}{x^6}$$  

$$y'=-\frac{5}{x^6}$$  

$$D=R\setminus\left\{\pm4\right\}$$  

$$D=R$$  

$$D=\left(-4;4\right)$$  

$$D=\left(-\infty;-4\right)\cup\left(4;+\infty\right)$$  

$$D=R$$  

$$D=\left(0;+\infty\right)$$  

$$D=\left(-\infty;-1\right)\cup\left(2;+\infty\right)$$  

$$D=R\setminus\left\{-1;2\right\}$$  

D=R\ $$\left\{2\right\}$$  

$$D=\left(2;+\infty\right)$$  

$$D=\left(-\infty;2\right)$$  

$$D=\left(-\infty;2\right]$$  

$$y'=3x\left(x^2+1\right)^{\frac{1}{2}}$$  

$$y'=x\left(x^2+1\right)^{\frac{1}{2}}$$  

$$y'=\left(x^2+1\right)^{\frac{1}{2}}$$  

$$y'=3x\left(x^2+1\right)^2$$  

$$y'=\frac{7}{6}\sqrt[6]{x}$$

$$y'=\frac{6}{7\sqrt[7]{x}}$$

$$y'=\frac{4}{3}\sqrt[3]{x}$$

$$y'=\sqrt[9]{x}$$

$$D=R$$

$$D=\left[-2;2\right]$$

$$D=\left(-\infty;-2\right]\cup\ \left[2;+\infty\right)$$

$$\left(-\infty;-2\right)\cup\ \left(2;+\infty\right)$$

$$D=R$$

$$D=\left[-\frac{1}{2};+\infty\right)$$

$$D=\left(-\frac{1}{2};+\infty\right)$$

$$D=\left(-\infty;-\frac{1}{2}\right]$$

$$D=R\ \backslash\ \left\{2\right\}$$

$$D=\left[2;+\infty\right)\backslash\ \left\{4\right\}$$

$$D=\left[2;+\infty\right)$$

$$\left(2;+\infty\right)$$

$$R$$

$$\left[0;2\right]$$

$$R\ \backslash\ \left\{0;2\right\}$$

$$\left(-\infty;0\right]\cup\ \left[2;+\infty\right)$$

$$D=R$$

$$D=R\ \backslash\left\{2\right\}$$

$$D=\left(-1;+\infty\ \right)$$

$$D=\left(2;+\infty\ \right)$$