Derivatives

29 termsStudBud Administration175 plays

AP Calculus AB class review of derivatives. No paper should be needed.

Flashcards29 cardsFPractice quizPHost liveL

Questions 29

Answers

1
y = csc(x) y ' = ?
1/(1+x2)
-csc(x)cot(x)
-cot2(x)
1/(1-x2)1/2
2
f(x) = 5x² + e^x f ' (0) =^?
1
11
0
10
3
f(x) = cos(x) f ' (x) = ?
tan(x)
csc(x)
sin(x)
-sin(x)
4
y = e^xdy/dx = ?
exln(x)
xex-1
ex
xex
5
f(x) = 5^xf ' (x) = ?
(x)5x-1
5xln(5)
5x
5xln(x)
6
y = 5x³ + 12x² - 3x + 8 dy/dx =
15x2 + 24x - 3
D.N.E.
15x2 + 24x + 5
3x2 + 2x -3
7
y = cot(x) dy/dx = ?
-csc(x)cot(x)
sec(x)tan(x)
-csc2(x)
sec2(x)
8
f(x) = sin(x) f '' (x) = ?
sin(x)
-sin(x)
cos(x)
-cos(x)
9
From the graph shown below, which value is the greatest?
f '' (1)
Can Not Determine
f ' (1)
f(1)
10
f(x) = sin (x) f ' (x) = ?
cos (x)
- sin (x)
sin (x)
- cos (x)
11
y = arctan(x) dy/dx = ?
1/(1+ x2)
D.N.E.
1/(1-x2)1/2
arcsec2(x)
12
f(x) = sin(x) f ' (π/2) = ?
0
D.N.E.
-1
1
13
M(x) = arcsin (x) M ' (x) = ?
1/(1-x2)1/2
1/(1+x2)
1/x(x2-1)1/2
arccos(x)
14
f(x) = (2x+1)²f ' (x) = ?
1/3(2x+1)3
2x+1
2(2x + 1)(2)
2(2x + 1)
15
y = e^2xdy/dx = ?
e2x
2xe2x
2e2x
2xe2x-1
16
f(x) = u/v f ' (x) = ?
(uv'-vu')/v2
u'/v'
(vu' - uv')/v2
uv'-vu'
17
f(x) = uv f ' (x) = ?
u'v'
(u(dv) - v(du)) / v2
uv' - vu'
uv' + vu'
18
f(x) = cos(x) f ' (3π/2) = ?
-1
12
1
0
19
y = 7x⁴d²y/dx² = ?
28x3
84x2
14x2
168x
20
f(x) = g(h(x)) f ' (x) = ?
g'(h(x))(h'(x))
g'(x)h(x) + h'(x)g(x)
g'(h(x))
g'(h'(x))
21
U(x) = sec(x) U ' (x) = ?
-sec(x)tan(x)
cos(x)
sec2(x)
sec(x)tan(x)
22
f(x) = sin(x) f ' (π/6) = ?
1/2
√3/2
-1/2
-√3/2
23
y = arcsec (x) y ' = ?
arctan (x)
1/(x(x2-1)1/2)
1/(1-x2)1/2
1/(1+x2)
24
On the graph of v(t) shown below, which point has v(t) > 0 and a(t) < 0 ?
B
C
A
D
25
y = cos(x) d²y/dx² = ?
sin(x)
-sin(x)
-cos(x)
cos(x)
26
y = ln(x) y ' = ?
xln(x-1)
ex
1/x
ln(x)
27
y = a^x dy/dx = ?
ax
axln(a)
xax
ax/ln(a)
28
y = tan (x) y ' = ?
- sin (x)
cot (x)
sec2 (x)
sec (x)
29
G(x) = XⁿG ' (x) = ?
(n-1)Xn
1/(n+1)Xn+1
nXn-1
nXn+1

Derivatives Flashcards | StudBud

Derivatives

29 termsStudBud Administration175 plays

AP Calculus AB class review of derivatives. No paper should be needed.

Flashcards29 cardsFPractice quizPHost liveL

Questions 29

Answers

1
y = csc(x) y ' = ?
1/(1+x2)
-csc(x)cot(x)
-cot2(x)
1/(1-x2)1/2
2
f(x) = 5x² + e^x f ' (0) =^?
1
11
0
10
3
f(x) = cos(x) f ' (x) = ?
tan(x)
csc(x)
sin(x)
-sin(x)
4
y = e^xdy/dx = ?
exln(x)
xex-1
ex
xex
5
f(x) = 5^xf ' (x) = ?
(x)5x-1
5xln(5)
5x
5xln(x)
6
y = 5x³ + 12x² - 3x + 8 dy/dx =
15x2 + 24x - 3
D.N.E.
15x2 + 24x + 5
3x2 + 2x -3
7
y = cot(x) dy/dx = ?
-csc(x)cot(x)
sec(x)tan(x)
-csc2(x)
sec2(x)
8
f(x) = sin(x) f '' (x) = ?
sin(x)
-sin(x)
cos(x)
-cos(x)
9
From the graph shown below, which value is the greatest?
f '' (1)
Can Not Determine
f ' (1)
f(1)
10
f(x) = sin (x) f ' (x) = ?
cos (x)
- sin (x)
sin (x)
- cos (x)
11
y = arctan(x) dy/dx = ?
1/(1+ x2)
D.N.E.
1/(1-x2)1/2
arcsec2(x)
12
f(x) = sin(x) f ' (π/2) = ?
0
D.N.E.
-1
1
13
M(x) = arcsin (x) M ' (x) = ?
1/(1-x2)1/2
1/(1+x2)
1/x(x2-1)1/2
arccos(x)
14
f(x) = (2x+1)²f ' (x) = ?
1/3(2x+1)3
2x+1
2(2x + 1)(2)
2(2x + 1)
15
y = e^2xdy/dx = ?
e2x
2xe2x
2e2x
2xe2x-1
16
f(x) = u/v f ' (x) = ?
(uv'-vu')/v2
u'/v'
(vu' - uv')/v2
uv'-vu'
17
f(x) = uv f ' (x) = ?
u'v'
(u(dv) - v(du)) / v2
uv' - vu'
uv' + vu'
18
f(x) = cos(x) f ' (3π/2) = ?
-1
12
1
0
19
y = 7x⁴d²y/dx² = ?
28x3
84x2
14x2
168x
20
f(x) = g(h(x)) f ' (x) = ?
g'(h(x))(h'(x))
g'(x)h(x) + h'(x)g(x)
g'(h(x))
g'(h'(x))
21
U(x) = sec(x) U ' (x) = ?
-sec(x)tan(x)
cos(x)
sec2(x)
sec(x)tan(x)
22
f(x) = sin(x) f ' (π/6) = ?
1/2
√3/2
-1/2
-√3/2
23
y = arcsec (x) y ' = ?
arctan (x)
1/(x(x2-1)1/2)
1/(1-x2)1/2
1/(1+x2)
24
On the graph of v(t) shown below, which point has v(t) > 0 and a(t) < 0 ?
B
C
A
D
25
y = cos(x) d²y/dx² = ?
sin(x)
-sin(x)
-cos(x)
cos(x)
26
y = ln(x) y ' = ?
xln(x-1)
ex
1/x
ln(x)
27
y = a^x dy/dx = ?
ax
axln(a)
xax
ax/ln(a)
28
y = tan (x) y ' = ?
- sin (x)
cot (x)
sec2 (x)
sec (x)
29
G(x) = XⁿG ' (x) = ?
(n-1)Xn
1/(n+1)Xn+1
nXn-1
nXn+1