stud
bud
Sign up
Log in
Home
Library
Explore
SAT
More
Calculus Derivatives Flashcards | StudBud
Explore
/
Calculus Derivatives
Calculus Derivatives
19 terms
·
StudBud Administration
·
75 plays
#calculus #ap #review
Flashcards
19 cards
F
Practice quiz
P
Host live
L
Questions
19
Answers
1
Rock is thrown from the moon & reaches a height of h(t)= 24t-0.8t
2
m. Time for the max height?
10 seconds
15 seconds
20 seconds
5 seconds
2
True/False: If f(x) = g(x) + h(x), then f’(x) = g’(x) + h’(x)
False
True
3
Find the equation of the tangent line to y = 3x
2
+6x+7 at the point (0,7)
y = 6x + 7
y = 12x
y = 6x - 7
y = 7x + 3
4
True/False: If f(x) = g(x)/h(x), then f’(x) = g’(x)/h’(x)
False
True
5
If f(x) = (x
2
- 2x -1)
2/3
, then f'(0) is
4/3
2/3
-2/3
-4/3
6
If y= (x
2
+1)/x, find d
2
y/dx
2
2/x2
2/x3
(4x3+2x)/x4
(12x3+2x)/x4
7
If f(x) = (x-1)
2
sin(x), then find f'(0)
-1
1
-3
3
8
What is the derivative of cos(x)?
sin(x)
tan(x)
-sin(x)
sec(x)
9
Rock is thrown from the moon & reaches a height of h(t)= 24t-0.8t
2
m.Find the accel at 1.5 sec.
1.6 m/sec2
.64 m/sec2
-.64 m/sec2
-1.6 m/sec2
10
On what intervals is f(x)=x
4
-4x
3
both decreasing and concave up?
(0,2)
(-∞, 0)U(2,3)
(-∞,0)
(2,3)
11
What is the derivative of 2
x
?
ln(2)2x
ln(2)2x-1
0
ln(x)2x
12
Find the slope of the tangent line to the graph of f at x=4, given that f(x) = -x
2
- 4√x
-7
-9
-8
-10
13
Find the derivative of y = 3x
2
+ 5e
x
y' = 6x + 5e
y' = 6x + 5ex
y' = 3x2 + 5ex
y' = 6x + 5xex
14
The slope of the line perpendicular to y = 2ln(sec(x)) at x=π/4 is
-1/2
2
1/2
-2
15
Rock is thrown from the moon & reaches a height of h(t)= 24t-0.8t
2
m.Find the velo. at 1.5 sec.
10 m/sec
21.6 m/sec
20.3 m/sec
24-1.6t m/sec
16
If y = tan(x) - cot(x), then find dy/dx
y' = sec2x-csc2x
y' = sec2x+csc2x
y' = secx-cscx
y' = secx+cscx
17
Compute the derivative of y = 5sec(x) - 2csc(x)
5tan(x) - 2cot(x)
5tan(x) + 2cot(x)
5sec(x)tan(x) + 2csc(x)cot(x)
5sec(x)tan(x) - 2csc(x)cot(x)
18
If f(x) = e
3ln(x
2
)
, then f'(x) =
6x5
6(ln x)e3ln(x2)
5x4
e3ln(x2)
19
If f(x) is (x
3
-2x+3)/√x, find f'(1)
1/3
1
2
0
