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Test 1 Formulas / Important Info
Calculus
7
Mathematics
Undergraduate 1
09/28/2017
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Cards

Term
Slope of a Secant Line
 Definition

F(x) - F(a)

x - a
Term

Average Velocity 

 

 Definition

s(t) - s(a)

t - a

 

[a, t]
Term
Difference Quotient
 Definition

f(x) - f(a)

x - a
Term
Slope of Tangent Line
 Definition

Mtan = lim f(x) - f(a)     

x->a  x - a

 

Mtan = lim f(a+h) - f(a)

h->0      h
Term
Derivative of f(x) at a
 Definition

f'(a) = lim f(x) - f(a)   

 x->a    x - a

 

f'(a) = lim f(a+h) - f(a)

h->0       h
Term
Instantaneous Velocity
 Definition

v(a) = s'(a) = lim s(t) - s(a)               

h->0    t - a
Term
The Derivative function
 Definition

f'(x) = lim f(x+h) - f(x)   

h->0      h
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