Trắc nghiệm Định nghĩa và ý nghĩa của đạo hàm Toán Lớp 11

A. \(y^{\prime}=3\left(4+\frac{10}{x^{3}}\right)\left(4 x+\frac{5}{x^{2}}\right)^{2}\)

B. \(y^{\prime}=3\left(4-\frac{10}{x^{3}}\right)\left(4 x-\frac{5}{x^{2}}\right)^{2}\)

C. \(y^{\prime}=\left(4 x+\frac{5}{x^{2}}\right)^{2}\)

D. \(y^{\prime}=3\left(4-\frac{10}{x^{3}}\right)\left(4 x+\frac{5}{x^{2}}\right)^{2}\)

A. \(y^{\prime}=40 x^{2}-3 x^{2}-6 x\)

B. \(y^{\prime}=40 x^{3}-3 x^{2}-6 x\)

C. \(y^{\prime}=40 x^{3}+3 x^{2}-6 x\)

D. \(y^{\prime}=40 x^{3}-3 x^{2}-x\)

A. \(\frac{2 x^{2}-2}{\left(x^{2}-1\right)^{2}}\)

B. \(\frac{-2 x^{2}+343}{\left(x^{2}-1\right)^{2}}\)

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

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

A. \(y^{\prime}=-x^{3}+4 x\)

B. \(y^{\prime}=-x^{3}-4 x\)

C. \(y^{\prime}=12 x^{3}+4 x\)

D. \(y^{\prime}=-12 x^{3}+4 x\)

A. \(y^{\prime}=\left(x^{7}+x\right)\left(7 x^{6}+1\right)\)

B. \(y^{\prime}=2\left(x^{7}+x\right)\)

C. \(y^{\prime}=2\left(7 x^{6}+1\right)\)

D. \(y^{\prime}=2\left(x^{7}+x\right)\left(7 x^{6}+1\right)\)

A. \(\frac{4 x^{2}-5 x+3}{2 \sqrt{x^{2}+x+1}}\)

B. \(\frac{4 x^{2}+5 x-3}{2 \sqrt{x^{2}+x+1}}\)

C. \(\frac{4 x^{2}+5 x+3}{\sqrt{x^{2}+x+1}}\)

D. \(\frac{4 x^{2}+5 x+3}{2 \sqrt{x^{2}+x+1}}\)

A. \(3 \sin (6 x+2)\)

B. \(\sin (6 x+2)\)

C. \(-3 \sin (6 x+2)\)

D. \(3 \cos (6 x+2)\)

A. \(\frac{5+2 \tan ^{2} x}{2 \sqrt{3 x+2 \tan x}}\)

B. \(\frac{5-2 \tan ^{2} x}{2 \sqrt{3 x+2 \tan x}}\)

C. \(\frac{-5+2 \tan ^{2} x}{2 \sqrt{3 x+2 \tan x}}\)

D. \(\frac{-5-2 \tan ^{2} x}{2 \sqrt{3 x+2 \tan x}}\)

A. \(\frac{2 x^{2}+6 x+2}{(x^{2}-1)^{2}}\)

B. \(\frac{2 x^{2}-6 x+2}{x^{2}-1}\)

C. \(\frac{2 x^{2}-6 x-2}{(x^{2}-1)^{2}}\)

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

A. \(-\frac{12}{(2 x+5)^{4}}\)

B. \(\frac{12}{(2 x+5)^{3}}\)

C. \(-\frac{6}{(2 x+5)^{3}}\)

D. \(-\frac{12}{(2 x+5)^{3}}\)

A. \(\frac{2 x^{2}+1}{2 \sqrt{x^{2}+1}}\)

B. \(\frac{x^{2}+1}{\sqrt{x^{2}+1}}\)

C. \(\frac{4 x^{2}+1}{\sqrt{x^{2}+1}}\)

D. \(\frac{2 x^{2}+1}{\sqrt{x^{2}+1}}\)

A. \(\begin{aligned} \frac{a a^{\prime} x^{2}+2 a b^{\prime} x+b b^{\prime}-a^{\prime} c}{\left(a^{\prime} x+b^{\prime}\right)} \end{aligned}\)

B. \(\frac{a a^{\prime} x^{2}+2 a b^{\prime} x+b b^{\prime}-a^{\prime} c}{\left(a^{\prime} x+b^{\prime}\right)^{2}}\)

C. \(\frac{a a^{\prime} x^{2}-2 a b^{\prime} x+b b^{\prime}-a^{\prime} c}{\left(a^{\prime} x+b^{\prime}\right)^{2}}\)

D. \(\frac{a a^{\prime} x^{2}+2 a b^{\prime} x-b b^{\prime}-a^{\prime} c}{\left(a^{\prime} x+b^{\prime}\right)^{2}}\)

A. \(a\over c \)

B. \(\frac{a d-b c}{(c x+d)^{2}}\)

C. \(\frac{a d+b c}{(c x+d)^{2}}\)

D. \(\frac{a d-b c}{c x+d}\)

A. \(\frac{x^{2}-2 x}{(x-1)^2}\)

B. \(\frac{x^{2}+2 x}{(x-1)^{2}}\)

C. \(\frac{x^{2}+2 x}{(x+1)^{2}}\)

D. \(\frac{-2 x-2}{(x-1)^{2}}\)

A. \(-\frac{3}{(x+2)^{2}}\)

B. \(\frac{3}{x+2}\)

C. \(\frac{3}{(x+2)^{2}}\)

D. \(\frac{2}{x+2^{2}}\)

A. \(y^{\prime}=-2 x^{2}+4 x+1\)

B. \(y^{\prime}=-3 x^{2}+4 x+1\)

C. \(y^{\prime}=-\frac{1}{3} x^{2}+4 x+1\)

D. \(y^{\prime}=-x^{2}+4 x+1\)

A. \(y^{\prime}=4 x^{3}-6 x+3\)

B. \(y^{\prime}=4 x^{4}-6 x+2\)

C. \(y^{\prime}=4 x^{3}-3 x+2\)

D. \(y^{\prime}=4 x^{3}-6 x+2\)