Calculus Review Flashcards

1

What is the derivative of arctan (x)

None of the above
1/(1 + x2)
1/√(1 + x2)
-1/(1 + x2)

2

Who was the only President to serve non consecutive terms in the US?

W H Harrison
B Harrison
Hoover
Cleveland

3

∫²/x dx

2ln(x) + c
ln(2x) + c
-2/x + c
-2 + c

4

What is the derivative if y = -12x⁷ + x

-84x6
-84x6 + 1
84x6
84x6 + 1

5

What is the derivative of ln(2x + 3)

2/ln(2x + 3)
2ln(2x + 3)
1/(2x + 3)
2/(2x + 3)

6

Find the derivative of y = ⁴/_x²

8/x
-8/x3
-8/x
-8x-2

7

Find the derivative of sin(2x² + cos(x))?

(4x + sin(x))cos(2x2 + cos(x))
(4x - sin(x))cos(2x2 + cos(x))
(2x - sin(x))cos(2x2 + cos(x))
(4x - sin(x))cos(2x + cos(x))

8

∫4x³dx

4/3x4 + c
4x3 + c
4x4 + c
x4 + c

9

What is the derivative of tan(x)

sec 2 (x)
-sec 2 (x)
-sec (x)
sec (x)

10

What is the derivative if y = e^ln(x)

eln(x)
x
1
1/xeln(x)

11

What is the derivative if y = e^{(2x + 3)}

e(2x + 3)
-2e(2x + 3)
2e(2x + 3)
e2(2x + 3)

12

What is the value of arcsin(sin(π/3))

π/3
None of the above
-√3/2
√3/2

13

What is the Capitol of Estonia

Tallinn
Belgrade
Vilnius
Riga

14

What is the derivative if y = ^{(x + 2)}/_(2x² _{+ x - 6)}

- 2/(2x - 3)2
(2x^2 + x - 6) - (x + 3)(4x + 1)/(2x2+ x - 6)^2
- 1/(2x - 3)2
1/(2x - 3)2

15

Which theorem says the slope of the tangent in the picture is equal to the slope of the secant

IVT
Rolles Theorem
MVT
Central Limit Theorem

Calculus Review

Questions 15

Calculus Review

Questions 15