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