Derivatives Flashcards

1
Q

Slope

A

Rate of change. Rise over run.

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

Linear functions have a…(related to slope)

A

Constant slope

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

In non-linear functions the slope does what

A

Changes and is calculated with calculus!

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

Derivative definition

A

A formula that can calculate the slope of any function at any point.

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

Limit as h->0 formula for derivatives

A

F(x+🔺x)-f(x)
——————
🔺x

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

Power rule for derivatives

A

F(x)=ax^n then fprime(x)=a•nx^n-1

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

Sinx

A

Cosx

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

Cosx

A

-sinx

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

Tanx

A

Sec^2x

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

Cscx

A

-cscxcotx

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

Secx

A

Secxtanx

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

Cotx

A

-csc2x

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

Arcsinx

A

1/sr1-x^2

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

Arccosx

A

-1/sr1-x^2

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

Arctan

A

1/1+x^2

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

Log6x

A

1/x•ln(6)

17
Q

E^x

A

E^x