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sin, cos, tan derivatives
derivative rules (exam2)
14
Mathematics
Undergraduate 2
10/05/2010

Additional Mathematics Flashcards

 


 

Cards

Term
y=sinx
Definition
y'=cosx
Term
y=cosx
Definition
y'=-sinx
Term
y=tanx
Definition
y'=sec2x
Term
y=secx
Definition
y'=secxtanx
Term
y=cscx
Definition
y'=-cscxcotx
Term
y=cotx
Definition
y'=-csc2x
Term

composite function

given: f(g(x))

Definition
f'(g(x)) •g'(x)
Term
y=uv
Definition
y'=uv' + vu'
Term
y=u/v
Definition

y'=(uv'-vu')

      v2

Term
y=ex
Definition

y'=ex

(SAME)

Term
y=ln(x)
Definition
y'=1/x
Term

chain rule

dy =

 dx    

Definition

dy  • du

du   dx

 

equals

 

 

dv • du

du  dx

 

Term

position function

first deriv=

second deriv=

third deriv=

Definition

first deriv= velocity

  second deriv= acceleration

third deriv= jerk?

Term
finding velocity at impact
Definition

at impact, height equals zero! plug zero in for h(t). solve for time.

 

this is the time of impact.  solve for velocity at t=...

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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