200 câu trắc nghiệm Hàm số mũ và Logarit nâng cao (P3)

A. $m\ge \frac{1}{4}$

B. m > 1/4

C. m < -1/4

D. m > 0

A. 1

B. 5

C. 10

D. 13

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

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

C. $y\text{'}=\frac{4x\ln \left(x^2+1\right)}{3y^2\left(x^2+1\right)}$

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

A. x/y = 4

B . x/y = 3

C . x/y = 5

D . x/y = 2

A. y = ln( x - 1)

B. $y={\log }_{\frac{1}{2}}\left(x-1\right)$

C. y = 2 ^x-1

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

A. 15

B. -12

C. -15

D. -10

A. $0<\beta <1<\alpha$

B. $\beta <0<1<\alpha$

C. $0<\alpha <1<\beta$

D. $\alpha <0<1<\beta$

A. a > b > 1

B. b > a > 1

C. 1 > a > b > 0

D. 1 > b > a > 0

A. 7

B. 9

C. 6

D. 10

A. m > 2

B. m > 5

C. m < 3

D. m < 0

A. 1 < m < 2

B. $m\in \left(-\frac{1}{2};\frac{1}{2}\right)$

C. $m\in \left(-\frac{1}{2};\frac{1}{2}\right)\cup \left(1;2\right)\backslash \left(0\right)$

D. 1 ≤ m ≤ 2

A. ab ² = 1

B. b = 3a

C. a ³ b = 1

D. ab ³ = 1

A. $D=\left(\sqrt{e};+\infty \right)$

B. $D=\left(0;+\infty \right)$

C. $D=\left(\frac{e}{2};+\infty \right)$

D. $D=\left(-\infty ;-\sqrt{e}\right)\cup \left(\sqrt{e};+\infty \right)$

A. $D=\left(0;+\infty \right)$

B. $D=\left(3;+\infty \right)$

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

D. $D=\left(\frac{1}{3};+\infty \right)$

A. $y\text{'}=\frac{e^{\sqrt{x}}+e^{-\sqrt{x}}}{2\sqrt{x}}$

B. $y\text{'}=\frac{e^{\sqrt{x}}-e^{-\sqrt{x}}}{2\sqrt{x}}$

C. $y\text{'}=\frac{e^{\sqrt{x}}-e^{-\sqrt{x}}}{\sqrt{x}}$

D. $y\text{'}=\frac{e^{\sqrt{x}}+e^{-\sqrt{x}}}{\sqrt{x}}$

A. $y\text{'}=\frac{-1}{x\left(\ln 3-\ln 2\right)}$

B. $y\text{'}=\frac{1}{\left(x\right)\left(\ln 3-\ln 2\right)}$

C. $y\text{'}=\frac{1}{x\left(\ln 3-\ln 2\right)}$

D. $y\text{'}=\frac{3}{2x\left(\ln 3-\ln 2\right)}$

A. $y\text{'}=\frac{1}{\left(2x-1\right)\ln 2}$

B. $y\text{'}=\frac{4}{\left(2x-1\right)\ln 2}$

C. $y\text{'}=\frac{2}{\left(2x-1\right)\ln 2}$

D. $y\text{'}=\frac{1}{\left(2x-1\right)\ln 2}$

A. $\frac{\cos \left(x^2+1\right)-\ln 2.\sin \left(x^2+1\right)}{2^x}$

B. $\frac{\cos \left(x^2+1\right)-\ln 2.\sin \left(x^2+1\right)}{4^x}$

C. $\frac{2x\cos \left(x^2+1\right)-\ln 2.\sin \left(x^2+1\right)}{2^x}$

D. $\frac{-2x\cos \left(x^2+1\right)-\ln 2.\sin \left(x^2+1\right)}{2^x}$

A. $y\text{'}=\frac{1}{\left(x-2\right)}+2^x\ln 2$

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

C. $y\text{'}=\frac{1}{x-2}+2^x\ln 2$

D. $y\text{'}=\frac{1}{x-2}+2^x$

A. $y\text{'}=\frac{x+1}{2\sqrt{x^2+2x+3}}$

B. $y\text{'}=\frac{2x+2}{\sqrt{x^2+2x+3}}$

C. $y\text{'}=\frac{x+1}{\sqrt{x^2+2x+3}}$

D. $y\text{'}=\frac{x+1}{x^2+2x+3}$

A. $y\text{'}=\frac{-1}{x^2-1}$

B. $y\text{'}=\frac{1}{x^2-1}$

C. $y\text{'}=\frac{1}{2\left(x^2-1\right)}$

D. $y\text{'}=\frac{-1}{2\left(x^2-1\right)}$

A. $f\text{'}\left(x\right)=\frac{1}{\sqrt{x^2+1}}$

B. $f\text{'}\left(x\right)=\frac{1}{x+\sqrt{x^2+1}}$

C. $f\text{'}\left(x\right)=\frac{1}{x+\sqrt{x^2+1}}\left(1+\frac{1}{2\sqrt{x^2+1}}\right)$

D. $f\text{'}\left(x\right)=\frac{2x}{\sqrt{x^2+1}}$

A. $\underset{ℝ}{min}y=2\sqrt{2};\underset{ℝ}{max}y=3$

B. $\underset{ℝ}{min}y=2;\underset{ℝ}{max}y=3$

C. $\underset{ℝ}{min}y=3;\underset{ℝ}{max}y=3\sqrt{2}$

D. $\underset{ℝ}{min}y=2;\underset{ℝ}{max}y=3\sqrt{2}$

A. $\underset{\left(-1;1\right)}{min}y=-\frac{3}{4};\underset{\left(-1;1\right)}{max}y=2$

B. $\underset{\left(-1;1\right)}{min}y=-\frac{3}{4};\underset{\left(-1;1\right)}{max}y=0$

C. $\underset{\left(-1;1\right)}{min}y=-1;\underset{\left(-1;1\right)}{max}y=1$

D. $\underset{\left(-1;1\right)}{min}y=-1;\underset{\left(-1;1\right)}{max}y=0$

A. $\underset{\left(0;1\right)}{min}y=2\sqrt{5};\underset{\left(0;1\right)}{max}y=6$

B. $\underset{\left(0;1\right)}{min}y=2\sqrt{5};\underset{\left(0;1\right)}{max}y=5$

C. $\underset{\left(0;1\right)}{min}y=2;\underset{\left(0;1\right)}{max}y=6$

D. $\underset{\left(0;1\right)}{min}y=2;\underset{\left(0;1\right)}{max}y=5$