stud
bud
Sign up
Log in
Home
Library
Explore
SAT
More
Basic Derivative Rules/ Tangent/Secent Lines Flashcards | StudBud
Explore
/
Basic Derivative Rules/ Tangent/Secent Lines
Basic Derivative Rules/ Tangent/Secent Lines
24 terms
·
StudBud Administration
·
392 plays
Imported from external platform
Flashcards
24 cards
F
Practice quiz
P
Host live
L
Questions
24
Answers
1
Find the derivative
3x
6/x
3/x
3
2
The graph of the derivative of this function would be
a parabola
a vertical line
idk, something even weirder
a horizontal line
3
Tangent Line Problem
C
B
D
A
4
Find the derivative.
f'(x) = -3x
f'(x) = 0
f'(x) = 3x2 - 6x
f'(x) = 3x2 - 6
5
Given the function find the derivative
1
7/2
1/16
5/16
6
The following limit is shows the definition of the derivative of which function?
13x²+23x-10
13x+23x²-10
13x²-23x+10
13x+23x-10
7
Find the derivative.
f'(x) = 1/(2x1/2) - 1/(2x3/2)
f'(x) = 1/(2x1/2) + 1/(2x3/2)
f'(x) = (1/2)x - (-1/2)x
f'(x) = 1/(2x)1/2 + 1/(2x)3/2
8
What is the definition of derivative?
limh→0 [ f (x + h) - f (x) ] / h
[ f (x + h) - f (x) ] / h
limx→a [ f (x) - f (a) ] / (x - a)
dy / dx
9
Given g(2) = 1 and g'(2) = 3, use the tangent line to g(x) at x = 2 to approximate g(2.1).
4
3.1
1.3
1.1
10
Find the derivative.
f'(t) = 4/(3t3)
f'(t) = (4/3)t
f'(t) = (-4/3)t3
f'(t) = -4/(3t3)
11
Find the derivative
6/x
3/x
6
x^2
12
Which is the graph of the derivative?
D
C
B
A
13
Find the derivative
pi
DNE
1
0
14
Which is the graph of the derivative?
C
D
A
B
15
Find the derivative.
f'(x) = -1/(2x3/2) - 12x2 - 3/x2
f'(x) = x-1/2 - 12x2 + 3x-1
f'(x) = 1/(2x1/2) - 12x2 - 3/x2
f'(x) = -1/(2x3/2) - 12x2 + 3/x2
16
The given limit is a derivative evaluate the limit.
2
π/4
1/2
1
17
What is the limit definition of the derivative?
[A]
[C]
[D]
[B]
18
The first day of autumn is known as the...
autumnal harvest
autumnal faun
autumnal solstice
autumnal equinox
19
Find the average rate of change.
-3/2
3/2
1/2
1
20
Find the derivative.
f'(x) = 3x - 3 + 2/x
f'(x) = 2 - 4/x2
f'(x) = 2x - 3 + 4/x
y' = (6x2 - 6x + 4)/(2x)
21
For the function f(x)=x
2
+1 find the slope of the secant line between x=2 and x=5
7
8
20/3
23∕3
22
Find the derivative.
f'(t) = -3sin(t) - (1/4)cos(t)
f'(t) = 3cos(t) - (1/4)sin(t)
f'(t) = 3sin(t) + (1/4)cos(t)
f'(t) = -3cos(t) + (1/4)sin(t)
23
Find the derivative
2ex
e
ex
xe
24
Which graph could be the derivative of the given function?
D
A
B
C
