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Average Rate of Change
Slope (f(b)-f(a))/(b-a)
Instantaneous Rate of Change
as the limit approaches c, (f(x)-f©)/(f-c)
Limit Definition of the Derivative
As the limit of h approaches 0, (f(x+h)-f(x))/h
sin²x+cos²x
=1
sin(x+y)
=sinxcosy+cosxsiny
cos(x+y)
cosxcosy-sinxsiny
Tangent Line of a graph of f at x=c
y-f©=f’©(x-c)
A line normal (perpendicular) to the graph of f at x=c
y-f©=(-1/f’©)(x-c)
Derivative of a Constant
0
Power Rule—→ x^n=
nx^(n-1)
Exponential Base e^x=
e^x
Logarithmic base lnx=
1/x
Derivative of sinx=
cosx
Derivative of tanx
sec²x
Derivative of secx
secxtanx
Derivative of cosx
-sinx
Derivative of cotx
-csc²x
Derivative of cscx
-cscxcotx
Note 
Flashcard (43)