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DERIVATIVE REVIEW (3 STEP)

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

DERIVATIVE ( slide 1 of 3 )
 y=4(6x2+5) 2y=4\cdot\left(6\cdot x^2+5\right)^{\ 2}  
RW  y=Ax B+Cx D+Ey=A\cdot x^{\ B}+C\cdot x^{\ D}+E  
Submit  A,B,C,D,EA,B,C,D,E  

(a)  

2.

DERIVATIVE ( slide 2 of 3 )
 y=4(6x2+5) 2y=4\cdot\left(6\cdot x^2+5\right)^{\ 2}  
RW  y=144x 4+240x 2+100y=144\cdot x^{\ 4}+240\cdot x^{\ 2}+100  
DIF  dydx=Ax B+Cx\frac{dy}{dx}=A\cdot x^{\ B}+C\cdot x  
Submit  A,B,CA,B,C  



(a)  

3.

DERIVATIVE ( slide 3 of 3 )
 y=4(6x2+5) 2y=4\cdot\left(6\cdot x^2+5\right)^{\ 2}  
RW  y=144x 4+240x 2+100y=144\cdot x^{\ 4}+240\cdot x^{\ 2}+100  
DIF  dydx=576x 3+480x\frac{dy}{dx}=576\cdot x^{\ 3}+480\cdot x  
SIMP  dydx=Ax(Bx C+D)\frac{dy}{dx}=A\cdot x\cdot\left(B\cdot x^{\ C}+D\right)  
Submit  A,B,C,DA,B,C,D  



(a)  

4.

DERIVATIVE ( slide 1 of 3 )
 w=128k4w=\frac{1}{28\cdot k^4}  
RW  w=ABk Cw=\frac{A}{B}\cdot k^{\ C}  
Submit  A,B,CA,B,C  



(a)  

5.

DERIVATIVE ( slide 2 of 3 )
 w=128k4w=\frac{1}{28\cdot k^4}  
RW  w=128k  4w=\frac{1}{28}\cdot k^{\ -\ 4}  
DIF  dAdB= 1Ck D\frac{dA}{dB}=-\ \frac{1}{C}\cdot k^{\ D}  
Submit  A,B,C,DA,B,C,D  



(a)  

6.

DERIVATIVE ( slide 3 of 3 )
 w=128k4w=\frac{1}{28\cdot k^4}  
RW  w=128k  4w=\frac{1}{28}\cdot k^{\ -\ 4}  
DIF  dwdk= 17k  5\frac{dw}{dk}=-\ \frac{1}{7}\cdot k^{\ -\ 5}  
SIMP  dwdk= ABk C\frac{dw}{dk}=-\ \frac{A}{B\cdot k^{\ C}}  
Submit  A,B,CA,B,C  



(a)  

7.

DERIVATIVE ( slide 1 of 3 )
 u=(8a+9)(4a7)u=\left(8\cdot a+9\right)\cdot\left(4\cdot a-7\right)  
RW  A=Ba CDaEA=B\cdot a^{\ C}-D\cdot a-E  
Submit  A,B,C,D,EA,B,C,D,E  



(a)  

8.

DERIVATIVE ( slide 2 of 3 )
 u=(8a+9)(4a7)u=\left(8\cdot a+9\right)\cdot\left(4\cdot a-7\right)  
RW  u=32a 220a63u=32\cdot a^{\ 2}-20\cdot a-63  
DIF  dAdB=CaD\frac{dA}{dB}=C\cdot a-D  
Submit  A,B,C,DA,B,C,D  



(a)  

9.

DERIVATIVE ( slide 3 of 3 )
 u=(8a+9)(4a7)u=\left(8\cdot a+9\right)\cdot\left(4\cdot a-7\right)  
RW  u=32a 220a63u=32\cdot a^{\ 2}-20\cdot a-63  
DIF  duda=64a20\frac{du}{da}=64\cdot a-20  
SIMP  duda=A(BxC)\frac{du}{da}=A\cdot\left(B\cdot x-C\right)  
Submit  A,B,CA,B,C  



(a)  

10.

DERIVATIVE ( slide 1 of 2 )
 g=16t 2+6t272t+3g=\frac{16\cdot t^{\ 2}+6\cdot t-27}{2\cdot t+3}  
RW  g=AtBg=A\cdot t-B  
Submit  A,BA,B  



(a)  

11.

DERIVATIVE ( slide 2 of 2 )
 g=16t 2+6t272t+3g=\frac{16\cdot t^{\ 2}+6\cdot t-27}{2\cdot t+3}  
RW  g=8t9g=8\cdot t-9  
DIF  dAdB=C\frac{dA}{dB}=C  
Submit  A,B,CA,B,C  



(a)  

12.

DERIVATIVE ( slide 1 of 3 )
 y=1cot(θ)cot(θ)y=\frac{1-\cot\left(\theta\right)}{\cot\left(\theta\right)}  
ALG  y=Atrig1(θ)trig2(θ)trig3(θ)y=\frac{A}{trig1\left(\theta\right)}-\frac{trig2\left(\theta\right)}{trig3\left(\theta\right)}  
Submit  A,trig1,trig2,trig3A,trig1,trig2,trig3  



(a)  

13.

DERIVATIVE ( slide 2 of 3 )
 y=1cot(θ)cot(θ)y=\frac{1-\cot\left(\theta\right)}{\cot\left(\theta\right)}  
ALG  y=1cot(θ)cot(θ)cot(θ)y=\frac{1}{\cot\left(\theta\right)}-\frac{\cot\left(\theta\right)}{\cot\left(\theta\right)}  
RW  (TRIG/ALG)   y=trig4(θ)Ay=trig4\left(\theta\right)-A  
Submit  trig4,Atrig4,A  



(a)  

14.

DERIVATIVE ( slide 3 of 3 )
 y=1cot(θ)cot(θ)y=\frac{1-\cot\left(\theta\right)}{\cot\left(\theta\right)}  
RW   y=tan(θ)1y=\tan\left(\theta\right)-1  
DIF  dydθ=trig5 A(θ)\frac{dy}{d\theta}=trig5^{\ A}\left(\theta\right)  
Submit  trig5,Atrig5,A  



(a)  

15.

DERIVATIVE ( slide 1 of 2 )
 r=sin2(A)+cos2(A)r=\sin^2\left(A\right)+\cos^2\left(A\right)  
RW (TRIG)  r=Ar=A  
Submit  AA  



(a)  

16.

DERIVATIVE ( slide 1 of 2 )
 r=sin2(A)+cos2(A)r=\sin^2\left(A\right)+\cos^2\left(A\right)  
RW (TRIG)  r=1r=1  
DIF  dAdB=C\frac{dA}{dB}=C  
Submit  A,B,CA,B,C  



(a)  

17.

DERIVATIVE ( slide 1 of 2 )
 p= cot(s)sp=-\ \cot\left(s\right)-s  
DIF   dAdB=trig1 C(s)D\frac{dA}{dB}=trig1^{\ C}\left(s\right)-D  
Submit  A,B,trig1,C,DA,B,trig1,C,D  



(a)  

18.

DERIVATIVE ( slide 2 of 2 )
 p= cot(s)sp=-\ \cot\left(s\right)-s  
DIF   dpds=csc 2(s)1\frac{dp}{ds}=\csc^{\ 2}\left(s\right)-1  
SIMP (TRIG ID)  dpds=trig2 A(s)\frac{dp}{ds}=trig2^{\ A}\left(s\right)  
Submit  trig2,Atrig2,A  



(a)  

19.

DERIVATIVE ( slide 1 of 2 )
 y=cot(x)sec(x)y=\cot\left(x\right)\cdot\sec\left(x\right)  
RW (TRIG)  y=trig1(x)y=trig1\left(x\right)  
Submit  trig1trig1  



(a)  

20.

DERIVATIVE ( slide 2 of 2 )
 y=cot(x)sec(x)y=\cot\left(x\right)\cdot\sec\left(x\right)  
RW (TRIG)  y=csc(x)y=\csc\left(x\right)  
DIF  dydx= trig2(x)trig3(x)\frac{dy}{dx}=-\ trig2\left(x\right)\cdot trig3\left(x\right)  
Submit  trig2,trig3trig2,trig3  



(a)