Calc 1 Exam 2 Derivatives Flashcards

1
Q

d/dx sin(x)

A

cos(x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

d/dx cos(x)

A

-sin(x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

d/dx tan(x)

A

sec^2(x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

d/dx csc(x)

A

-csc(x)cot(x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

d/dx sec(x)

A

sec(x)tan(x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

d/dx cot(x)

A

-csc^2(x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

d/dx arcsin(x)

A

1/sqrt(1-x^2)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

d/dx arccos(x)

A

-1/sqrt(1-x^2)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

d/dx arctan(x)

A

1/1+x^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

d/dx arccsc(x)

A

-1/xsqrt(1-x^2)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

d/dx arcsec(x)

A

1/xsqrt(1-x^2)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

d/dx arccot(x)

A

-1/1+x^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

f(g(x))

A

f’g(x)*g’(x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

f(x)g(x)

A

f’(x)g(x) + f(x)g’(x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

f(x)/g(x)

A

g(x)f’(x)-f(x)g’(x)/g(x)^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

x^n

A

nx^n-1

17
Q

cf(x)

A

f(x+h)+f(x)/h

18
Q

lnxy

A

lnx+lny

19
Q

lnx/y

A

lnx-lny

20
Q

lnx^y

A

ylnx

21
Q

lne^x

A

x

22
Q

e^lnx

A

x

23
Q

lns

A

logs

24
Q

lne

A

1 0<a

25
Q

ln1

A

0 0<a

26
Q

point slope

A

y-y1 = m(x-x1)