Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

Calculus 1: Trig Derivatives > Computations > Flashcards

Computations Flashcards

1
Q

What is the D/dx [tan x] ?

A

Sec^2 x

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

What is the d/dx of [cot x]?

A

-csc^2 x

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

What does -csc^2 x turn into? Since it does not exist,

A

-cot^2 x -1

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

What is the d/dx of [sec x]

A

Sec x tan x

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

What is the derivative of [csc x]?

A

-cscx cotx

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

What is the formula of the constant rule?

A

D/dx (c)= 0

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

What is the formula of the power rule?

A

D/dx (x^n) = nx^n-1

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

What is the formula of the constant multiple rule?

A

D/dx (cf(x)) = cf ’(x)

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

What is the formula for the sum and difference rule?

A

f ‘ (x)➖g ‘ (x)
f ’ (x) ➕ g ‘ (x)

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

What is the derivative of the product rule?

A

f ‘ (x) g(x) ➕ g ‘ (x) f(x)

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

What is the derivative of the quotient rule?

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
12
Q

What is the derivative of extended power rule? (Hint: rational number)

A

nx^n-1

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

What is the derivative of [sin x]?

A

Cos x

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

What is the derivative of [Cos x ]?

A

-sin x

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

What is the chain rule?

A

A method of finding derivatives of composite functions

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

What is velocity?

A

Object moving along a line on graph. (Ex: up, down, left or right)

17
Q

What is speed?

A

Talking about how fast the object is moving on the graph

18
Q

What is acceleration?

A

The rate of change of speed in one particular direction

19
Q

What is the chain rule differentiable function of sin u?

A

Cos u

20
Q

What is the chain rule differentiable function of tan u?

A

Sec^2 u

21
Q

What is the chain rule differentiable function of sec u?

A

Sec u tan u

22
Q

What is the chain rule differentiable function of cos u?

A

—sin u

23
Q

What is the chain rule differentiable function of cot u?

A

-csc^2 u

24
Q

What is the chain rule differentiable function of csc u?

A

-csc u cot u

25
Q

What is the derivative of the inverse trig function of (sin^-1 (x))

A

1/ square root of 1➖x^2

26
Q

What is the derivative of the inverse trig function of (cot^-1 (x))

A

➖ (1/ 1+ x^2 )

27
Q

What is the derivative of the inverse trig function of (tan^-1 (x)).

A

1 /1➕ x^2

28
Q

What is the derivative of the inverse trig function of (sec^-1 (x))

A

1/ |x| square root x^2 -1

29
Q

What is the derivative of the inverse trig function of (cos^-1 (x))

A

➖( 1/ square root 1–x^2)

30
Q

What is the derivative of the inverse trig function of (sin^-1 (x))

A
31
Q

What is the derivative of the inverse trig function of (csc^-1 (x))

A

1/ |x| square root x^2-1

Calculus 1: Trig Derivatives (1 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions