Calculus I Quiz Review Jeopardy Template

Implicit Differentiation

Logarithmic Differentiation

First Derivative Test

First & Second Deriv. Test

Fun / Joker Questions!!

100

Find dy/dx from the following equation:

2x^2-y^2=9

dy/dx=(2x)/y

100

Find dy/dx from the following equation:

y=x^2e^x

dy/dx=2xe^x+x^2e^x

100

Find the Critical Points from the following equations, and describe if they're Maxima or Minima:

y=4x^3-3x

Maxima: x₁=-1/2

Minima: x₂=1/2

100

Find the Inflexion Points from the following equations:

y=x^2-6x

No Inflexion Points!!

100

What are the SI Leaders' names?

Javier & David!!

200

Find dy/dx from the following equation:

x^2y=x-7y

dy/dx=(1-2xy)/(x^2+7)

200

Find dy/dx from the following equation:

y=x^2ln(9x)

dy/dx=2xln(9x)+x

200

Find the Critical Points from the following equations, and describe if they're Maxima or Minima:

y=4sqrt(x)-x^2

Maxima: x₁=1

*Minima: x₂=0

200

Find the Inflexion Points from the following equations:

x^4-6x^3

p₁=(0, 0)

p₂=(3, -81)

200

Who can name all the people on the SI Room?

(Check SI Sign-In Sheet...)

300

Find dy/dx from the following equation:

(xy)^2+3x=2y^2

dy/dx=(-3-2xy^2)/(2x^2y-4y)

300

Find dy/dx from the following equation:

y=lnsqrt(5x-7)

dy/dx=5/(10x-14)

300

Find the Critical Points from the following equations, and describe if they're Maxima or Minima:

y=sqrt(4-x^2)

Maxima: x=0

*Minima: x₂=-2, x₃=2

300

Find the Intervals where the Function is Concave Up or Concave Down:

y=x^3-6x^2

Concave Down: (-oo, 2)

Concave Up: (2, oo)

300

Where do the SI Leaders usually sit at Lecture?

(Confirm with SI's)

400

Find dy/dx from the following equation:

xy-cos(x^2y)=1

dy/dx=(y+2xysin(x^2y))/(-x-x^2sin(x^2y))

400

Find dy/dx from the following equation:

y=x^sqrt(x)

dy/dx=((xln(x)+2x)/(2sqrt(x)))x^sqrt(x)

400

Find the Critical Points from the following equations, and describe if they're Maxima or Minima:

y=ln(x-2)

No Maxima or Minima points.

400

Find the Intervals where the Function is Concave Up or Concave Down:

y=x+x^2-x^3

Concave Up: (-oo, 1/3)

Concave Down: (1/3, oo)

400

What movie is it coming out tomorrow!!!!

SPIDER-MAN: BRAND NEW DAY!!!!

500

Find dy/dx from the following equation:

xy^2+sin(piy)-2x^2=10

dy/dx=(4x-y^2)/(2xy+picos(piy))

500

Find dy/dx from the following equation:

y=e^(x^3ln(x))

dy/dx=(3x^2ln(x)+x^2)e^(x^3)ln(x)

500

Find the Critical Points from the following equations, and describe if they're Maxima or Minima:

y=x^(3/2)-3x^(5/2)

Maxima: x₁=1/5

*Minima: x₂=0

500

Find the Intervals where the Function is Concave Up or Concave Down:

y=x^3+x^4

Concave Up: (-oo, -1/2) U (0, oo)

Concave Down: (-1/2, 0)

500

What are the SI's majoring at?

Physics and Comp. Science