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Derivatives Sine Cosine Fractions Radicals 3 Step

Authored by Greg Snelick

Mathematics

9th - 12th Grade

Used 4+ times

Derivatives Sine Cosine Fractions Radicals 3 Step
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20 questions

Show all answers

1.

DRAG AND DROP QUESTION

30 sec • 2 pts

DERIVATIVES OF TRIG FUNCTIONS

ddx[ sin⁡x ]=\frac{d}{dx}\left[\ \sin x\ \right]= ​ (a)  

ddx[ cos⁡x ]=\frac{d}{dx}\left[\ \cos x\ \right]= ​ (b)  

cos⁡x\cos x  

− sin⁡x-\ \sin x  

sin⁡x\sin x
− cos⁡x-\ \cos x

2.

MATH RESPONSE QUESTION

1 min • 2 pts

DERIVATIVES

ddx[ 6x8+13sin⁡x ]=\frac{d}{dx}\left[\ 6x^8+13\sin x\ \right]= EXP

Submit EXP

48x7+13cos⁡x48x^7+13\cos x

Mathematical Equivalence

OFF

3.

MATH RESPONSE QUESTION

1 min • 2 pts

DERIVATIVES

ddk[ 25k13−8cos⁡k ]=\frac{d}{dk}\left[\ 25k^{13}-8\cos k\ \right]= EXP

Submit EXP

325k12+8sin⁡k325k^{12}+8\sin k

Mathematical Equivalence

OFF

4.

MATH RESPONSE QUESTION

1 min • 2 pts

DERIVATIVES (slide 1 of 3)

u=− 9t5−11sin⁡tu=-\ \frac{9}{t^5}-11\sin t

ALG  u=ALG\ \ u= EXP1

DIF   dydt=DIF\ \ \ \frac{dy}{dt}= EXP2

SIM   dydt=SIM\ \ \ \frac{dy}{dt}= EXP3

Submit EXP1

−9t−5−11sin⁡t-9t^{-5}-11\sin t

Mathematical Equivalence

OFF

5.

MATH RESPONSE QUESTION

1 min • 2 pts

DERIVATIVES (slide 2 of 3)

u=− 9t5−11sin⁡tu=-\ \frac{9}{t^5}-11\sin t

ALG  u=ALG\ \ u= EXP1

DIF   dydt=DIF\ \ \ \frac{dy}{dt}= EXP2

SIM   dydt=SIM\ \ \ \frac{dy}{dt}= EXP3

Submit EXP2

45t−6−11cos⁡t45t^{-6}-11\cos t

Mathematical Equivalence

OFF

6.

MATH RESPONSE QUESTION

1 min • 2 pts

DERIVATIVES (slide 3 of 3)

u=− 9t5−11sin⁡tu=-\ \frac{9}{t^5}-11\sin t

ALG  u=ALG\ \ u= EXP1

DIF   dydt=DIF\ \ \ \frac{dy}{dt}= EXP2

SIM   dydt=SIM\ \ \ \frac{dy}{dt}= EXP3

Submit EXP3

45t6−11cos⁡t\frac{45}{t^6}-11\cos t

Mathematical Equivalence

OFF

7.

MATH RESPONSE QUESTION

1 min • 2 pts

DERIVATIVES (slide 1 of 3)

w=23a6+14cos⁡aw=\frac{2}{3a^6}+14\cos a

ALG  w=ALG\ \ w= EXP1

DIF   dwda=DIF\ \ \ \frac{dw}{da}= EXP2

SIM   dwda=SIM\ \ \ \frac{dw}{da}= EXP3

Submit EXP1

23a−6+14cos⁡a\frac{2}{3}a^{-6}+14\cos a

Mathematical Equivalence

OFF

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