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Long Test Basic Calculus

Authored by Juan Garcia

Mathematics

11th Grade

CCSS covered

Used 2+ times

Long Test Basic Calculus
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45 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find ddx(sin⁡8x)\frac{d}{dx}\left(\sin8x\right)

y′=cos⁡8xy'=\cos8x

y′=8cos⁡8xy'=8\cos8x

y′=−8cos⁡8xy'=-8\cos8x

y′=−cos⁡8xy'=-\cos8x

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find ddxtan⁡4x\frac{d}{dx}\tan4x

y′=sec⁡24xy'=\sec^24x

y′=4sec⁡24xy'=4\sec^24x

y′=−sec⁡24xy'=-\sec^24x

y′=−4sec⁡24xy'=-4\sec^24x

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find ddxcot⁡2x\frac{d}{dx}\cot2x

y′=2cot⁡22xy'=2\cot^22x

y′=−2cot⁡22xy'=-2\cot^22x

y′=2csc⁡22xy'=2\csc^22x

y′=−2csc⁡22xy'=-2\csc^22x

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the derivative of y=sin⁡44xy=\sin^44x

y′=16cos⁡4xsin⁡34xy'=16\cos4x\sin^34x

y′=16cos⁡4xsin⁡44xy'=16\cos4x\sin^44x

y′=4cos⁡4xsin⁡34xy'=4\cos4x\sin^34x

y′=4cos⁡4xsin⁡44xy'=4\cos4x\sin^44x

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find ddxe−8x\frac{d}{dx}e^{-8x}

y′=e−8xy'=e^{-8x}

y′=−8xe−8xy'=-8xe^{-8x}

y′=−8e−8xy'=-8e^{-8x}

y′=8e−8xy'=8e^{-8x}

Tags

CCSS.HSF-IF.C.8B

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find ddxe12x\frac{d}{dx}e^{12x}

y′=e12xy'=e^{12x}

y′=12xe12xy'=12xe^{12x}

y′=12e12xy'=12e^{12x}

y′=−12e12xy'=-12e^{12x}

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If you derive y=exy=e^x . What will be its 8th derivative?

y′=−exy'=-e^x

y′=e−xy'=e^{-x}

y′=−e−xy'=-e^{-x}

y′=exy'=e^x

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