Calc 2.1 and 2.2

Derivatives

100

The derivative of

y=3x^2-4

y'= 6x

200

The derivative of

f(x)=-6x^2+10x-14

 f'(x) = -12x + 10

300

The derivative 

y = sqrt(x)

What is y' = 1/ (2sqrt(x) )

400

The derivative of

y = 6x^4 - 1/2 x^2 - 10

y' = 72x^2 - 1

500

Find the derivative of 

(5x^2-12x-9)/(5x+3)

f'(x) = 1

Using derivatives

100

The slope of the tangent line of 

y=5x^2-4x 

 at x = 1.

 6

200

The equation of the tangent line to 

y=2x^3-6

 at x=2 

What is y=24x-38

300

The x-coordinate for the point where f(x) has a horizontal tangent line f(x) = x²+x-6.

What is x = -1/2

400

The x values for the horizontal tangent line of y = 1/3x³ + 1/2x² - 6x at x=2

x=-3, x=2

500

Find the derivative of y = 1/6x³ + 3/2 x².

y'=1/2x^2+3x

Random Review

100

The slope of the curve is found using

the first derivative

200

If you had to find the derivative using the limit rule, what would you do?

that long formula that you all hate

300

y=2x^3-x

Is y symmetric with the x-axis?

No

Replace y with -y and see if they are the same

400

What is the domain? What is the range?

Domain: all possible x values

Range: all possible y values

500

f(x)=2x^2+7

g(x)=x+2

f(g(x))

f(g(x))=2x^2+8x+15

Alldredge Facts

100

How many kids do I have?

2

200

How old are my kids?

10 and 7

300

What sport do I coach?

Track

400

What college did I run track at?

Whitworth

500

What is my masters degree in?

Statistics

Limits/Chap 1

100

What does the limit of

sin(x)/x

1

200

What does the limit of

(1-cos(x))/x

0

300

Find the limit as x approaches 0 of 

(1-cos(3x))/(4x)

0

400

Determine any discontinuities for

(x^2-4)/(2x^2+5x+2)

x=-2 hole removable discontinuity

x=2 VA non-removable disontinuity

500

Find the limit as x approaches infinity of 

(8x-4x^2)/(6x^3+3)

DNE