Basic Differentiation Rules Flashcards by Kristina McClellan | Brainscape

Q

d
—- [ Lnu ] =
dx

A

u

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ |u| ] =
dx

A

u
—- (u’) u cannot = 0
|u|

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ log_a_u ] =
dx

A

Lna(u)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ cosu ] =
dx

A

sinu (u’)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ secu ] =
dx

A

secutanu (u’)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ arccosu ] =
dx

A

Sq. root (1 - u^2)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ arcsecu ] =
dx

A

|u| sq. root (u^2 - 1)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ e^u ] =
dx

A

e^u (u’)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ cotu ] =
dx

A

-csc^2u (u’)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ arccotu ] =
dx

A

1 + u^2

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ a^u ] =
dx

A

Lna(a^u)u’

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ tanu ] =
dx

A

Sec^2u (u’)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ cscu ] =
dx

A

-cscucotu (u’)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ arctanu ] =
dx

A

1 + u^2

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ arccscu ] =
dx

A

|u| sq. root (u^2 - 1)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

d
—- [ sinu ] =
dx

A

cosu(u’)

Q

d
—- [ arcsinu ] =
dx

A

u’

sq. root (1-u^2)