Calculus

Derivatives

100

The slope of a tangent line:

a. point slope 

b. rise over run

c. integral

d. derivative 

What is a derivative?

200

The derivative of tan(x)

a. tanx²

b. sec²x

c. cos²xcos²x

d. csc²x

What is (sec²x)?

300

All of the following are true EXCEPT:

A: ddx(ex)=e^x     B: ddx(ax)=xln(a)

C:ddx(lnx)=1/x   D: d/dx(log_ax)=1/xln(a)

What is B?

400

Name each power rule

What is power rule, product rule, quotient rule, and chain rule?

500

The power rule formula 

What is f(x)=a'b+b'a?

Integrals

100

Another name for "Integrals"

a. derivative

b. anti-derivative

c. integration

d. substitution 

What is an anti-derivative?

200

The integral of 2x

a. 2

b. 2x

c. x

d. x²

What is x²?

300

You write this at the end of an integral that does not have bounds

a. C

b. U

c. +C

d. +u 

What is +C?

400

INTEGRATE: ∫x-2 dx

a. x+2 +C

b. 1/x² +C

^{c. 1/x +C}

^{d. 1 +C}

What is 1/x +C?

500

The Chain Rule formula

What is f´(g(x))*g´(x)?

Substitution

100

 The first step in U-substitution

a. let u= ___

b. plug in u

c. solve for y

d. take the derivative 

What is let u=?

200

The second step in u-substitution 

a. integrate

b. differentiate 

c. set y=x

d. substitue in du

What is substitute du?

300

Lim_x->2(x³+5x²-7x+1)

a. 15

b. 5

c. 10

d. 3

What is 15?

400

What term would be used as u?

x²(x³-7)³

^a. x²

b. 3x²

c. x³-7

d. 2x

What is (x³-7)?

500

Evaluate:
∫(8x−12)(4x²−12x)⁴dx

a. 1/5(4x2−12x)5+C

b. 5(4x2−12x)5+C

c. (4x2−12x)5+C

d. (12x)5+C

What is 1/5(4x2−12x)5+C?

Limits

100

a. 6

b. -5

c. -3

d. 7

What is -3?

200

What is C?

300

 lim_x-> ∞ (2x²+x-1)

A)2     B) ∞

C)-2    D)-∞

What is B (∞)?

400

 Name 3 of the rules to find limits

What is difference rule, power rule, product rule, quotient rule, constant multiple rule?

500

4 types of discontinuities

What is hole, jump, infinity, and oscillating?

Misc

100

Ms. Post's favorite candy 

a. Hershey's kiss

b. Reeces

c. Peanut M & M's 

d. Peppermints 

What are Peanut M&M's?

200

What does "make it pretty" mean?

What is simplify?

300

Fill in the blanks:

Separate

Separate 

______

______

What is Integrate Integrate?

400

The second derivative indicates...

a. velocity

b. acceleration 

c. the derivative of the integral

d. integra; 

What is acceleration?

500

What is Ms.Post's favorite band?

A)Beach Boys

B)The Beatles

C)Post Malone

D)Led Zeppelin

What is the Beach Boys?