Derivatives Flashcards
1
Q
Slope
A
Rate of change. Rise over run.
2
Q
Linear functions have a…(related to slope)
A
Constant slope
3
Q
In non-linear functions the slope does what
A
Changes and is calculated with calculus!
4
Q
Derivative definition
A
A formula that can calculate the slope of any function at any point.
5
Q
Limit as h->0 formula for derivatives
A
F(x+🔺x)-f(x)
——————
🔺x
6
Q
Power rule for derivatives
A
F(x)=ax^n then fprime(x)=a•nx^n-1
7
Q
Sinx
A
Cosx
8
Q
Cosx
A
-sinx
9
Q
Tanx
A
Sec^2x
10
Q
Cscx
A
-cscxcotx
11
Q
Secx
A
Secxtanx
12
Q
Cotx
A
-csc2x
13
Q
Arcsinx
A
1/sr1-x^2
14
Q
Arccosx
A
-1/sr1-x^2
15
Q
Arctan
A
1/1+x^2