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4TH PERIODICAL TEST (BASIC CALCULUS)

Authored by Rose Escuadro

Mathematics

11th Grade

Used 5+ times

4TH PERIODICAL TEST (BASIC CALCULUS)
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48 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following has a derivative of 2x2\frac{2}{x^2} ?

2x32x^3

1x2\frac{1}{x^2}

−2x-\frac{2}{x}

−4x3-\frac{4}{x^3}

None of these.

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which is not a higher-order derivative of −3x6-3x^6 ?

360x3360x^3

0

−1080x2-1080x^2

−18x5-18x^5

None of these.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the derivative of x(n−1)x^{\left(n-1\right)} ?

(n−1)x(n−2)\left(n-1\right)x^{\left(n-2\right)}

nx(n−1)nx^{\left(n-1\right)}

(n−1)xn\left(n-1\right)x^n

nx(n−2)nx^{\left(n-2\right)}

None of these.

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If u=4x−3u=4x-3 and v=5xv=5x , what is (uv)′\left(uv\right)' ?

40x−1540x-15

20x2−15x20x^2-15x

20x−520x-5

20x20x

None of these.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The derivative of cos x is equal to the 3rd derivative of _________.

cos⁡ x\cos\ x

sin⁡ x\sin\ x

−cos⁡ x-\cos\ x

−sin⁡ x-\sin\ x

None of these.

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Twice the derivative of (2ex)2\left(2e^x\right)^2

16e2x16e^{2x}

8e2x8e^{2x}

4e2x4e^{2x}

−4e2x-4e^{2x}

None of these.

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If sin⁡ xcos⁡ x=tan⁡ x\frac{\sin\ x}{\cos\ x}=\tan\ x , what is (tan⁡x)(cos⁡ x)\left(\tan x\right)\left(\cos\ x\right) ?

−csc⁡x -\csc x\

sin⁡x\sin x

cot⁡ x\cot\ x

sec⁡ x\sec\ x

None of these.

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