Derivatives of Trig Functions

What is the derivative of sin(x)?

cos(x)
What is the derivative of cos(x)?

-sin(x)
What is the derivative of tan(x)?

sec²(x)
What is the derivative of cot(x)?

-csc²(x)
What is the derivative of sec(x)?

sec(x)tan(x)
What is the derivative of csc(x)?

-csc(x)cot(x)
What is the derivative of 2cos(x)?

-2sin(x)
What is the derivative of sin^-1(x)?

1/(1-x²)^1/2; for -1<x<1
What is the derivative of cos^-1(x)

-1/(1-x²)^1/2; for -1<x<1
What is the derivative of tan^-1(x)

1/(1+x²); for -inf<x<inf
What is the derivative of arccot^-1(x)

-1/(1+x²); for -inf<x<inf
What is the derivative of the inverse of sec(x)

1/[abs(x)*(x²-1)^1/2]; for abs(x)>1
What is the derivative of csc^-1(x)

-1/[abs(x)*(x²-1)^1/2]; for abs(x)>1

Author

ballinbc14

39813

Card Set

Derivatives of Trig Functions

Description

Derivative of basic trig functions

Updated

2010-10-30T08:12:25Z

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