Derivatives of Trig Functions

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Author:
ballinbc14
ID:
39813
Filename:
Derivatives of Trig Functions
Updated:
2010-10-30 04:12:25
Tags:
derivative trigonometric trig functions
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Description:
Derivative of basic trig functions
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  1. What is the derivative of sin(x)?
    cos(x)
  2. What is the derivative of cos(x)?
    -sin(x)
  3. What is the derivative of tan(x)?
    sec2(x)
  4. What is the derivative of cot(x)?
    -csc2(x)
  5. What is the derivative of sec(x)?
    sec(x)tan(x)
  6. What is the derivative of csc(x)?
    -csc(x)cot(x)
  7. What is the derivative of 2cos(x)?
    -2sin(x)
  8. What is the derivative of sin-1(x)?
    1/(1-x2)1/2; for -1<x<1
  9. What is the derivative of cos-1(x)
    -1/(1-x2)1/2; for -1<x<1
  10. What is the derivative of tan-1(x)
    1/(1+x2); for -inf<x<inf
  11. What is the derivative of arccot-1(x)
    -1/(1+x2); for -inf<x<inf
  12. What is the derivative of the inverse of sec(x)
    1/[abs(x)*(x2-1)1/2]; for abs(x)>1
  13. What is the derivative of csc-1(x)
    -1/[abs(x)*(x2-1)1/2]; for abs(x)>1

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