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Review for Quiz 3 Higher Derivatives and Implicit Diff Intro

Authored by Adeyemi Aderinto

Mathematics

10th Grade - University

Used 6+ times

Review for Quiz 3 Higher Derivatives and Implicit Diff Intro
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23 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the 3rd derivative if

 y=3x412x3+11x28x+10y=3x^4-12x^3+11x^2-8x+10  

 d3ydx3=36x272x+22\frac{d^3y}{dx^3}=36x^2-72x+22  

 d3ydx3=12x336x2+22x8\frac{d^3y}{dx^3}=12x^3-36x^2+22x-8  

 d3ydx3=72x  72\frac{d^3y}{dx^3}=72x\ -\ 72  

 d3ydx3=72\frac{d^3y}{dx^3}=72  

 d3ydx3=0\frac{d^3y}{dx^3}=0  

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the 2nd derivative if

 y=3x412x3+11x28x+10y=3x^4-12x^3+11x^2-8x+10  

 d2ydx2=36x272x+22\frac{d^2y}{dx^2}=36x^2-72x+22  

 d2ydx2=12x336x2+22x8\frac{d^2y}{dx^2}=12x^3-36x^2+22x-8  

 d2ydx2=72x  72\frac{d^2y}{dx^2}=72x\ -\ 72  


 d2ydx2=72\frac{d^2y}{dx^2}=72  

 d2ydx2=0\frac{d^2y}{dx^2}=0  

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the 4th derivative if

 y=3x412x3+11x28x+10y=3x^4-12x^3+11x^2-8x+10  

 d4ydx4=36x272x+22\frac{d^4y}{dx^4}=36x^2-72x+22  

 d4ydx4=12x336x2+22x8\frac{d^4y}{dx^4}=12x^3-36x^2+22x-8  

 d4ydx4=72x  72\frac{d^4y}{dx^4}=72x\ -\ 72  

 d4ydx4=72\frac{d^4y}{dx^4}=72  

 d4ydx4=0\frac{d^4y}{dx^4}=0  

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the 15th derivative if

 y=3x412x3+11x28x+10y=3x^4-12x^3+11x^2-8x+10  

 d15ydx15=36x272x+22\frac{d^{15}y}{dx^{15}}=36x^2-72x+22  

 d15ydx15=12x336x2+22x8\frac{d^{15}y}{dx^{15}}=12x^3-36x^2+22x-8  

 d15ydx15=72x  72\frac{d^{15}y}{dx^{15}}=72x\ -\ 72  

 d15ydx15=72\frac{d^{15}y}{dx^{15}}=72  

 d15ydx15=0\frac{d^{15}y}{dx^{15}}=0  

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the 4th Derivative if

 y=8cosxy=-8\cos x  

 f4(x)=8cosxf^4\left(x\right)=-8\cos x  

 f4(x)=8cosxf^4\left(x\right)=8\cos x  

 f4(x)=8sinxf^4\left(x\right)=-8\sin x  

 f4(x)=8sinxf^4\left(x\right)=8\sin x  

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the 2nd Derivative if

 y=8cosxy=-8\cos x  

 f(x)=8cosxf''\left(x\right)=-8\cos x  

 f(x)=8cosxf''\left(x\right)=8\cos x  

 f(x)=8sinxf''\left(x\right)=-8\sin x  

 f(x)=8sinxf''\left(x\right)=8\sin x  

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the 3rd Derivative if

 y=8cosxy=-8\cos x  

 y=8cosxy'''=-8\cos x  

 y=8cosxy'''=8\cos x  

 y=8sinxy'''=-8\sin x  

 y=8sinxy'''=8\sin x  

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