Calculus Review: Derivatives and Integrals!

23 termsStudBud Administration38 plays

Awesome calculus review! #derivativesandintegrals

Flashcards23 cardsFPractice quizPHost liveL

Questions 23

Answers

1
Find the derivative: 2x³
6x2
6x3
Running out of things to put here
2/3x4
2
∫ x/(x²+4) dx
x2/(2/3x3 + 4x)+c
(1/2)ln∣x2+4∣+c
Not possible
ln |x| + (1/8)x2 +c
3
What is ln e?
0
DNE
-1
1
4
Integrate: ∫ (3 - x)¹⁰ dx
(-1 / 11)(3 - x) + C
(1 / 11)(3 + x) + C
(-1 / 11)(3 - x)11 + C
(1 / 11)(3 - x)11 + C
5
Differentiate with respect to x: cos (5x³)
-15x2cos5x3
15x2sin5x3
15x2cos5x3
-15x2sin5x3
6
Find the second derivative with respect to time x = 4t³+8t²+7t+18
x''=24t+16
x''=24t+15
x''=12t2+16t+7
a=12t3 + 16t
7
∫ x²cos(x³) dx
-1/3sin(x3)+c
3sin(x3)+c
2x/3sin(x3)+c
1/3sin(x3)+c
8
Which of the following is a method for finding anti-derivatives?
u-Substitution
Quotient Rule
Math Magic
Product Rule
9
Find the derivative:
(3 - 2x) / (2 - x)2
3 / (2 + x)2
3 / (2 - x)2
(1 - 2x) / (2 - x)2
10
Integrate: ∫ (2x + 5)(x² + 5x)⁷ dx
(1/8)(x2 + 5x)8 + C
(1/8)(x8 + 5x)2 + C
(1/8)(x2 - 5x)8 + C
(x2 + 5x)(x3/3 + 5x2/2) + C
11
Find the anti-derivative: ∫ sin 3x dx
-cos 3x / 3 + C
-sin 3x / 3 + C
cos 3x / 3 + C
Find that inteegrull
12
Differentiate:
2 / (x +1)2
2/(x + 1)
- 2 / (x + 1)2
-2/(x+1)
13
Find the derivative:
(1/2)(x + 3)-1/2
-(1/2)(x + 3)-1/2
-(1/2)√(x + 3)-1/2
-(1/2)(x + 3)
14
Find derivative using implicit differentiation: x³ + y³ = 4
x2 / y2
-x2 / y2
-y2 / x2
y2 / x2
15
Find the derivative: f(x) = x^2/3
3 / 2x1/3
3/5x5/3+c
2 / 3x-1/3
16
Find the derivative: x³ cos x
-3x2 sin x + x3 cos x
3x2 sin x
-x3 sin x + 3x2 cos x
-3x2 sin x
17
∫sin3x dx
-(cos3x)/3 + c
(cos3x)/3 + c
-(cos3x)/3 + 3
You lost the game!!
18
d/dx (x³+1)²
7x2(x7+1)
6x2(x3+1)
6x3(x2+1)
2(x3+1)
19
Find the anti-derivative: csc x cot x
cot2 x + c
-csc x + c
csc x + c
-sec x + c
20
Find the integral: ∫ tan x sec x dx
sec2x + c
tan x + c
csc2x + c
sec x + c
21
Differentiate:
2 (3x + 1)
6(3x+1)2
6 (3x - 1)
6 (3x + 1)
22
Use implicit differentiation to find dy/dx in terms of x and y: 3x = -y³ + 2
3 / -y2
1 / -y2
I give up.
3x / -y3
23
What is ln 1?
∞
-1
1
0

Calculus Review: Derivatives and Integrals! Flashcards | StudBud

Calculus Review: Derivatives and Integrals!

23 termsStudBud Administration38 plays

Awesome calculus review! #derivativesandintegrals

Flashcards23 cardsFPractice quizPHost liveL

Questions 23

Answers

1
Find the derivative: 2x³
6x2
6x3
Running out of things to put here
2/3x4
2
∫ x/(x²+4) dx
x2/(2/3x3 + 4x)+c
(1/2)ln∣x2+4∣+c
Not possible
ln |x| + (1/8)x2 +c
3
What is ln e?
0
DNE
-1
1
4
Integrate: ∫ (3 - x)¹⁰ dx
(-1 / 11)(3 - x) + C
(1 / 11)(3 + x) + C
(-1 / 11)(3 - x)11 + C
(1 / 11)(3 - x)11 + C
5
Differentiate with respect to x: cos (5x³)
-15x2cos5x3
15x2sin5x3
15x2cos5x3
-15x2sin5x3
6
Find the second derivative with respect to time x = 4t³+8t²+7t+18
x''=24t+16
x''=24t+15
x''=12t2+16t+7
a=12t3 + 16t
7
∫ x²cos(x³) dx
-1/3sin(x3)+c
3sin(x3)+c
2x/3sin(x3)+c
1/3sin(x3)+c
8
Which of the following is a method for finding anti-derivatives?
u-Substitution
Quotient Rule
Math Magic
Product Rule
9
Find the derivative:
(3 - 2x) / (2 - x)2
3 / (2 + x)2
3 / (2 - x)2
(1 - 2x) / (2 - x)2
10
Integrate: ∫ (2x + 5)(x² + 5x)⁷ dx
(1/8)(x2 + 5x)8 + C
(1/8)(x8 + 5x)2 + C
(1/8)(x2 - 5x)8 + C
(x2 + 5x)(x3/3 + 5x2/2) + C
11
Find the anti-derivative: ∫ sin 3x dx
-cos 3x / 3 + C
-sin 3x / 3 + C
cos 3x / 3 + C
Find that inteegrull
12
Differentiate:
2 / (x +1)2
2/(x + 1)
- 2 / (x + 1)2
-2/(x+1)
13
Find the derivative:
(1/2)(x + 3)-1/2
-(1/2)(x + 3)-1/2
-(1/2)√(x + 3)-1/2
-(1/2)(x + 3)
14
Find derivative using implicit differentiation: x³ + y³ = 4
x2 / y2
-x2 / y2
-y2 / x2
y2 / x2
15
Find the derivative: f(x) = x^2/3
3 / 2x1/3
3/5x5/3+c
2 / 3x-1/3
16
Find the derivative: x³ cos x
-3x2 sin x + x3 cos x
3x2 sin x
-x3 sin x + 3x2 cos x
-3x2 sin x
17
∫sin3x dx
-(cos3x)/3 + c
(cos3x)/3 + c
-(cos3x)/3 + 3
You lost the game!!
18
d/dx (x³+1)²
7x2(x7+1)
6x2(x3+1)
6x3(x2+1)
2(x3+1)
19
Find the anti-derivative: csc x cot x
cot2 x + c
-csc x + c
csc x + c
-sec x + c
20
Find the integral: ∫ tan x sec x dx
sec2x + c
tan x + c
csc2x + c
sec x + c
21
Differentiate:
2 (3x + 1)
6(3x+1)2
6 (3x - 1)
6 (3x + 1)
22
Use implicit differentiation to find dy/dx in terms of x and y: 3x = -y³ + 2
3 / -y2
1 / -y2
I give up.
3x / -y3
23
What is ln 1?
∞
-1
1
0