stud
bud
Sign up
Log in
Home
Library
Explore
SAT
More
Duplicate of AP Calculus Basic Derivatives Flashcards | StudBud
Explore
/
Duplicate of AP Calculus Basic Derivatives
Duplicate of AP Calculus Basic Derivatives
10 terms
·
StudBud Administration
·
19 plays
Power Rule and Graphs of Derivatives
Flashcards
10 cards
F
Practice quiz
P
Host live
L
Questions
10
Answers
1
Let f (x) = x
4
+ 3x + 6. What is the instantaneous rate of change of f at x = 1?
4
7
10
3
2
Find the derivative of f(x) = 7x
-1
f ' (x) = -7x
f ' (x) = -7x-1
f ' (x) = -7x-2
f ' (x) = 7x-2
3
Given the graph of f ' (x), on what interval(s) is f(x) decreasing?
(12.5, 20)
(0, 10) and (15, 20)
(5, 12.5)
(10, 15)
4
Let f (x) = 6x
1/2
. What is the instantaneous rate of change at x = 4?
3/2
3
3/4
6
5
Let f (x) = 5x
2
. Find an equation of the tangent line to f(x) at x = 2.
y-20 = 20 (x-2)
y-20 = 10 (x-2)
y-10 = 10 (x-2)
y-40 = 20 (x-2)
6
Given f (x) = x
4
+ x
3
- x + 1, what is f ' (1) ?
8
6
2
7
7
Let f (x) = -2x
3
+ x
2
- 4x. What is the slope of the tangent line at x = 2 ?
24
16
-24
-16
8
Given the graph of f ' (x), on what interval(s) is f decreasing?
(4, 6)
(3, 5)
(0, 4)
(0, 2) and (3, 5)
9
Find the derivative of f(x) = x
4
+ 5x
f ' (x) = 4x3 + 5
f ' (x) = 4x2 + 5
f ' (x) = 4x3
f ' (x) = 12x3 + 5x
10
Find the derivative of f(x) = 4x
1/
2
+ 2
f ' (x) = 2x-1/2
f ' (x) = 2x1/2
f ' (x) = 8x-1/2
f ' (x) = 8x-1/2 + 2
