What is the anti derivative of 2x2-2x5

What is an anti derivative, 1/3x3-3x6

AP Calculus Legacy Flashcards

1

f '(x) = 2x³ + 1

f '(x) = 6x2
All of the above can be correct
f'''(x) = 12x
f"(x) = 6x2

2

The derivative of the antiderivative is....

The original function
Inflection point
The inverse
Critical point

3

If f'(x) = 3x⁶+12x¹², f''(x) =

18x5-144x11
25x5+10x11
30x5+1811
18x5+144x11

4

The derivative of

-csc x cot x
-csc2x
sec2x
sex x tan x

5

Find the antiderivative of x⁴+3x²

x5+x3
1/5x5+x3
4x3+6x
x5+1/3x3

6

What is the derivative of a cow?

Milk
This is not educational
Cow'
Prime rib

7

Find y' of (g(x)⋅f'(x)-[f(x)⋅g'(x)] ∕(g(x)²) @ x=3 using the following graph

-¾
¾
½
.75

8

This is an example of...

Quotient rule
Product rule
U-Sub
Chain Rule

9

∫sin u du

cos u
-cos u
-cosu + c
cos u + c

10

When a function's derivative changes from positive to negative, it's a...

Max
Critical point
Min
Inflection point

11

(u)(v') + (v)(u') is an example of

U-sub
Product rule
Quotient rule
Chain rule

12

∫cscu cotu du

-csc u
-csc u + c
csc u + c
csc u

13

g'(f(x))⋅f'(x) is an example of...

Chain rule
Product rule
Quotient rule
Power rule

14

f ''(x) =

2x
2
2x + 3
x + 3

15

Find the derivative of (f(x)⋅g(x)) @ x=2, using the following graph

18
48
4
24

16

e^2xdx

e2x⋅2
e2x
e
2x

17

What is the anti derivative of 2x²-2x⁵

4x-10x4
What is an anti derivative
1/3x3-3x6
x3-3x

18

Find f"(x) of 4x⁵-2x⁴

20x4-8x3
x4-8x
20x4 + 8x3
x4-8

19

f '''(x) =

12x + 60x3
6x + 60x3
12x + 180x2
6x2 + 60x3

20

ln Isec uI + c

sec u tan u du
sec u du
∫tan u du
tan u du

AP Calculus Legacy

Questions 20

AP Calculus Legacy

Questions 20