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Derivative Quiz

Authored by Senol Korucu

Mathematics

12th Grade - University

CCSS covered

Used 13+ times

Derivative Quiz
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19 questions

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1.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Which of the following is / are true ?

(50x2)I = 100\left(50x^2\right)^I\ =\ 100

(2Π)I = 0\left(\sqrt{2}-\Pi\right)^I\ =\ 0

(2x)I = 2\left(-2x\right)^I\ =\ -2

2.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Which of the following is / are true ?

(x2)I = 2x2\left(-x^2\right)^I\ =\ -2x^2

(2x3)I = 6x2\left(2x^3\right)^I\ =\ 6x^2

( 4x 2x3)I = 4 6.x2\left(\ 4x\ -2x^3\right)^I\ =\ 4\ -\ 6.x^2

3.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Which of the following is / are true ?

(sinx)I = cosx\left(-\sin x\right)^I\ =\ -\cos x

(cosx)I = sinx\left(\cos x\right)^I\ =\ -\sin x

(cosxsinx)I = cosxsinx\left(\cos x-\sin x\right)^I\ =\ -\cos x-\sin x

Tags

CCSS.HSF.TF.C.9

4.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Which of the following is / are true ?

( u +v)I = uI + vI\left(\ u\ +v\right)^I\ =\ u^I\ +\ v^I

(u v)I = uI vI\left(u\ -\ v\right)^I\ =\ u^I\ -\ v^I

( u.v)I = uI.v vI.u\left(\ u.v\right)^I\ =\ u^I.v\ -\ v^I.u

(uv)I = uI.v + vI.uv2\left(\frac{u}{v}\right)^I\ =\ \frac{u^I.v\ +\ v^I.u}{v^2}

Tags

CCSS.HSA.APR.C.4

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Derive y = 2x3 - 3x2+2

6x - 6

6x2 - 6x

6x2 - 6

6x3 - 6x2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the derivative of the given equation

f(x) = x4 - 4x3 - 4x

4x3 - 4x2 - 4

4x3 - 12x2 - 4

4x2 - 12x - 4

4x3 - 12x2 - 4x

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of
f(x) =  1x-\frac{1}{x}  

 12x\frac{1}{2x}  

 x1-x^{-1}  

 1x2\frac{1}{x^2}  

-x-2

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