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Derivative Rules Practice Flashcards | StudBud

Explore/Derivative Rules Practice

Derivative Rules Practice

20 terms·StudBud Administration·58 plays

My project for AB Calculus AP Final Project. Sherrill 2nd LISD, FMHS

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Questions 20

Answers

1
What is the derivative of: 2x⁴+13x³-24x+√x ?
6x3+16x2-24+(1/√x)
8x3+39x2-24+(1/x2)
8x4+39x3-24x+(1/(2√x))
8x3+39x2-24+(1/(2√x))
2
What is the derivative of: √x ?
-1/x2
1/x2
(1/2)(√x)
1/(2√x)
3
What is the derivative of: tan^-1(x) ?
-1 / (1-(x)2)
-1 / (1+(x)2)
1 / (1-(x)2)
1 / (1+(x)2)
4
What is the derivative of: cos(x) ?
-sin(x)
sin(x)
tan(x)
xcos(x)
5
What is the derivative of: cot(x²) ?
(2x) sec2(x2)
-csc(x2) cot(x2)
(2x) csc2(x2)
-(2x) csc2(x2)
6
What is the derivative of: f(g(x)) ?
f ' (x) + g ' (x)
f ' (x) g ' (x)
g ' (f(x)) f ' (g(x))
f ' (g(x)) g ' (x)
7
What is the derivative of: sin^-1(x) ?
1 / √(1-(x)2)
csc(x)
-cos(x)
-1 / √(1-(x)2)
8
What is the derivative of: x³+7x²-56 ?
(x/3)+(7/2)x
3x2+14x
3x3+14x2
3x2+14x-1
9
What is the derivative of: 5/(x+1) ?
5/(x+1)2
5/x
1/(5x+5)
-5/(x+1)2
10
What is the derivative of: csc^-1(x) ?
1 / |x|√((x)2-1)
-1 / |x|√((x)2-1)
cot(x) sec(x)
-1 / √(1-(x)2)
11
What is the derivative of: e^x?
ex
xex
xe
e
12
What is the derivative of: cos^-1(2x) ?
2 / √(1-(2x)2)
-1 / √(1-(2x)2)
-2 / √(1-(2x)2)
1 / √(1-(2x)2)
13
What is the derivative of: sec(x) ?
csc(x)
sec(x) tan(x)
-csc(x)
sec2(x)
14
What is the derivative of: ln(x) ?
1/ln(x)
1/x
x
ex
15
What is the derivative of: log₂(x) ?
(lnx) / (ln2)
(x)(ln2)
(ln2) / (lnx)
1 / (x ln2)
16
What is the derivative of: tan(x) ?
tan2(x)
sin(x)cos(x)
sec2(x)
xtan(x)
17
What is the derivative of: (u)/(v) ?
[(u')-(v')] / v2
(v) / (u)
[(vu')+(v'u)] / v2
[(vu')-(v'u)] / v2
18
What is the derivative of: (u)(v) ?
(u')(v')
(uv')+(vu')
(uv)/(u'v')
u'+v'
19
What is the derivative of: 4^x?
4x
x(4x)
(4x)ln4
4(4x)
20
What is the derivative of: cot^-1(x) ?
-1 / √(1-(x)2)
-1 / (1+(x)2)
tan-1(x)
csc-1(x)