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Applied Calculus
product rule, quiotent rule, derivitives
7
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02/25/2010
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Term
sum rule f(x)= g(x) + h(x)
f' (x)= g'(x) + h'(x)
Definition
f(x)= 3x^3 + 4x^4
f'(x)= 9x^2 + 16x^3
Term
Power rule f(x)= C(x)^k
f'(x)= C*k(x)^(k-1)
 Definition
f(x)= 3x^4
f'(x)= 3*4x^(4-1)→ 12x^3
Term
Derivitives definiton= y' → y prime
f'(x)=dx/dy
 Definition
y'= y prime
y"= second derivitive
Term

quotient rule g(x) 

                     f(x) 

 

dx  =  BT'-TB'

dy         B^2

 

 Definition

 f(x)= 3x^3

         4x^4

 

dx  =  (4x^4)(9x^2) - [(3x^3)(16x^3)

dy                   (4x^4)^2
Term
slope intercept y=m(x-b)
Definition
Term
y-y1=m(x-x1)
Definition
Term
slope of tangent line = f'(x)=m
y-y1= m(x-x1)
Definition