Week 13 - AP Calculus AB - Derivatives and Interprestion

Question 1

AMAZINGLY, the single image below can teach you nearly ALL you need to know about integration!

Accepted Answer

Wow! I'll think about it so I can answer the next question.

Question 2

What is the limit of lim x--> infiniti (2x)/(x2)

Accepted Answer

0

Question 3

You can think of the "S" looking ∫ symbol as for "Sum". What might the ∫ be for below?

Accepted Answer

Sum

Question 4

A function is decreasing when the x value is_________ and the y value is_________

Accepted Answer

increasing, decreasing

Question 5

A constant function graph looks like a ____________

Accepted Answer

Flat Line

Question 6

If the left hand limit and the right hand limit don't equal than the overall limit is...

Accepted Answer

DNE

Question 7

What is the derivative of -10x5+8x3-9x+2

Accepted Answer

-50x4+24x3-9

Question 8

What are the relative maximums of the picture below

Accepted Answer

x=0, x=4, x=-5

Question 9

SIMPLIFIED LESSON. To integrate we do the derivative backward. ∴ find: ∫cos(x)⋅dx =

Accepted Answer

sin x + c

Question 10

The derivative tells us....

Accepted Answer

The slope of a function at any point

Question 11

What equation is this?

Accepted Answer

Point Slope Form

Question 12

Take the Second Derivative of 5x2+3x

Accepted Answer

10

Question 13

(Question is in the Picture)

Accepted Answer

0

Question 14

Identify the following equation

Accepted Answer

The quadratic formula

Question 15

What are the vertical asymptotes of f(x) = (-12) / (x2)

Accepted Answer

0

Question 16

Find the horizontal tangent

Accepted Answer

x=-1

Question 17

What can integration be used to find?

Accepted Answer

To find volumes, To find areas, To find the area under a graph, To find something called central points...

Question 18

What is the derivative of 2x3+4x2+8x

Accepted Answer

6x2+8x+8

Question 19

A function is increasing when the x-value is ________ and the y value is ________

Accepted Answer

increasing, increasng

Question 20

What is the domain of f(x) =(-12) / (x2)

Accepted Answer

All real numbers except 0

Question 21

SIMPLIFIED LESSON. To integrate we do the derivative backward. ∴ find: ∫2x⋅dx =

Accepted Answer

x2 + c

Question 22

(f(b) - f(a)) / (b - a) is the equation to find the....

Accepted Answer

Average rate of change

Question 23

Take the derivative of y = -8x3

Accepted Answer

-24x2

Question 24

What are the relative minimums of the picture below

Accepted Answer

x=2, x=-3

Question 25

What is a tangent line?

Accepted Answer

A line that touches a curve at a single point, A line that touches a graph of a function at a single point

Question 26

SIMPLIFIED LESSON. To integrate we do the derivative backward. ∴ find: ∫3x2⋅dx =

Accepted Answer

x3 + c

Question 27

What is the limit?

Accepted Answer

4

Week 13 - AP Calculus AB - Derivatives and Interprestion

Questions 27

Week 13 - AP Calculus AB - Derivatives and Interprestion

Questions 27