Period 7 - Derivatives Review Flashcards

1

Find the derivative: y = x³ -3x² +2x - 7

y'=x2-6x+2
y'=3x2-6x+2
y'=3x2-6x+7
y'=3x2-6x+7

2

Find the derivative:

sec t cot t
-csc t tan t
-csc t cot t
csc t cot t

3

y= tan(sin x)

yI= sec2 (sin x)
yI= sec2 (sin x) cos x
yI= tan x(cos x) + sin x(sec2)

4

Find the derivative:

sec x
-sinx
csc x
sin x

5

What is the slope of the line tangent to f(x) = 4 cos x at x = pi/6 ?

-2(sq rt 3)
2
-2
1/2

6

What is the value of the limit shown below?

1
6
0
D.N.E.

7

y= x⁵+2x^-3

yI= x5 + 2x3
yI= 5x4+6x-4
yI= 5x4-6x-4

8

Solve

1/5
1
5
0

9

Solve

-1/2 cos2(2x)
-1/2 cos(2x)
1/2 sin(2x)
1/2 sin2(2x)

10

What is the value of the limit shown below?

1
1/4
D.N.E.
1/2

11

Find the derivative:

cos t
sec t tan t
csc t tan t
sec t cot t

12

y= 3sinx - 4cosx

yI=3cos x + 4sin x
yI= -3cos x + 4sin x
yI= -3cos x - 4sin x
yI=3cos - 4 -sin x

13

Find the derivative:

- csc x cot x
sec2 x
csc2 x
- csc2 x

14

Solve

-6sin(3x)cos(3x
6cos(3x)
2cos(3x)
-2cos(3x

15

F(x)= x³/x+4

FI(x)= 2x3+12x2/(x+4)2
FI(x)= 2x3-12x2/(x+8x+16)
FI(x)= x3+6/4x+8
FI(x)= 3x3+12x2-x3/(x+4)2

16

Find the derivative:

cos y
- cos y
csc2 y
tan y

17

Solve

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

18

Find the derivative: y = e^t sin t

y'= et (cos t + sin t)
y' = t et cos t
y' = et cos t
y' = et (sin t - cos t)

19

Are you going to pass Calculus next year?

<p>No</p>
<p>Maybe</p>
Yes

20

Solve

1+cos(x)
cosx
sinx - cosx
1-cos(x)

21

y= (3x+1)²

yI=1/3(3x+1)^3
yI=2(3x+1)
yI=18x+6
yI=6(3x+1)

22

Find the derivative:

-csc2 x
-sec2 x
sec x tan x
sec2 x

Period 7 - Derivatives Review

Questions 22

Period 7 - Derivatives Review

Questions 22