Calculus.txt

Card Set Information

Author:
williams
ID:
52842
Filename:
Calculus.txt
Updated:
2010-12-02 05:41:14
Tags:
calculus
Folders:

Description:
trig
Show Answers:

Home > Flashcards > Print Preview

The flashcards below were created by user williams on FreezingBlue Flashcards. What would you like to do?


  1. y = cos x
    y'=?
    y' = -sin x
  2. y = sin x
    y'=?
    y' = cos x
  3. y = tan x
    y' =
    y'=sec2 x
  4. y = cot x
    y' = ?
    y'=-csc2x
  5. y = sec x
    y'=?
    y'=sec x * tan x
  6. y = csc x
    y'=
    y'= csc x * cot x
  7. Power Chain Rule
    Given y = (f(x))n
    y'=
    y' = n (f(x))n-1*f '(x)
  8. Chain Rule
    Given y = f(g(x))
    y'= ?
    y'= f '(g(x))*g'(x)
  9. Exponential Functions
    Given y = ax
    y'=?
    y' = ax * ln a
  10. Implicit Differentation
    • 1) Differentiate both sides w/respect to 'x'
    • 2) Treat 'y' as function of 'x' and multiply 'y' by dy/dx
    • 3) Collect all dy/dx on one side and solve for dy/dx
  11. Normal/Perpendicular
    take negative inverse of slope
  12. Inverse Functions
    • 1) Solve for 'x' in terms of 'y'
    • 2) Swap domain (x) and range (y)
  13. Derivitive of Inverse Function
    y = f(x)
    y'=?
    y'= 1/f ' (x)
  14. ln (a*b) = ?
    ln a + ln b
  15. ln (a/b) = ?
    ln a - ln b
  16. ln Ac= ?
    C ln A
  17. logaa=?
    1
  18. alogax=?
    x
  19. y = ln (f(x))
    y' = ?
    f ' (x) / f(x)
  20. Trig Review
    • sin 2x= 2sin x cos x
    • cos2x=cos2x-sin2x
    • sin(a+b) = sin a cos b + cos a sin b
    • cos(a+b) = cos a cos b - sin a sin b

What would you like to do?

Home > Flashcards > Print Preview