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11a1 gua k

Authored by Tín Trung

Mathematics

11th Grade

Used 1+ times

11a1 gua k
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35 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Tính đạo hàm của hàm số y=(7x−5)4y=\left(7x-5\right)^4  

y′=4(7x−5)3y'=4\left(7x-5\right)^3  

y′=−28(7x−5)3y'=-28\left(7x-5\right)^3  

y′=−28(5−7x)3y'=-28\left(5-7x\right)^3  

y′=28(5−7x)3y'=28\left(5-7x\right)^3  

2.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Tính đạo hàm của hàm số y=(1−x3)5y=\left(1-x^3\right)^5  

y′=5x2(1−x3)4y'=5x^2\left(1-x^3\right)^4  

y′=−15x2(1−x3)4y'=-15x^2\left(1-x^3\right)^4  

y′=−3x2(1−x3)4y'=-3x^2\left(1-x^3\right)^4  

y′=−5x2(1−x3)4y'=-5x^2\left(1-x^3\right)^4  

3.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

 Tính đạo hàm của hàm số y=x2−4x3y=\sqrt{x^2-4x^3}

y′=x−6x2x2−4x3y'=\frac{x-6x^2}{\sqrt{x^2-4x^3}}  

y′=12x2−4x3y'=\frac{1}{2\sqrt{x^2-4x^3}}  

y′=x−12x22x2−4x3y'=\frac{x-12x^2}{2\sqrt{x^2-4x^3}}  

y′=x−6x22x2−4x3y'=\frac{x-6x^2}{2\sqrt{x^2-4x^3}}  

4.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

 Tính đạo hàm của hàm số y=−12sin⁡(π3−x2)y=-\frac{1}{2}\sin\left(\frac{\pi}{3}-x^2\right)

y′=xcos⁡(π3−x2)y'=x\cos\left(\frac{\pi}{3}-x^2\right)  

y′=12x2cos⁡(π3−x)y'=\frac{1}{2}x^2\cos\left(\frac{\pi}{3}-x\right)  

y′=12xsin⁡(π3−x)y'=\frac{1}{2}x\sin\left(\frac{\pi}{3}-x\right)  

y′=12xcos⁡(π3−x2)y'=\frac{1}{2}x\cos\left(\frac{\pi}{3}-x^2\right)  

5.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Tìm hệ số góc  kk  của tiếp tuyến của parabol  y=x2y=x^2  tại điểm có hoành độ  12\frac{1}{2}  

k=0k=0  

k=1k=1  

k=14k=\frac{1}{4}  

k=−12k=-\frac{1}{2}  

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tìm đạo hàm  y=x2−3x+1xy=x^2-3\sqrt{x}+\frac{1}{x}  

 2x−3x+1x2x-3\sqrt{x}+\frac{1}{x}  

 2x−32x+1x2x-\frac{3}{2\sqrt{x}}+\frac{1}{x}  

 2x−32x−1x2x-\frac{3}{2\sqrt{x}}-\frac{1}{x}  

 2x−32x−1x22x-\frac{3}{2\sqrt{x}}-\frac{1}{x^2}  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tính đạo hàm  2x−3x+4\frac{2x-3}{x+4}  

 −11(x+4)2\frac{-11}{\left(x+4\right)^2}  

 11(x+4)2\frac{11}{\left(x+4\right)^2}  

 5(x+4)2\frac{5}{\left(x+4\right)^2}  

 11x+4\frac{11}{x+4}  

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