Derivatives of Trigonometric Functions

For Math 1156 - Calculus for Biology - Exam #2

Derivative of sin(x)

cos(x)

Derivative of cos(x)

-sin(x)

Derivative of tan(x)

sec²(x)

Derivative of sec(x) or (1/cos(x))

sec(x)tan(x)

Derivative of cot(x)

-csc²(x)

Derivative of csc(x)

-csc(x)cot(x)

Derivative e^x

e^x

Derivative ln(x)

1/x

Derivative logb(x)

1/(x lnb)

Derivative of the Inverse sin(x)

1/√(1 - x^2)

Derivative of Inverse cos(x)

-1/√(1 - x^2)

Derivative of Inverse tan(x)

1/(1+x^2)

Derivative of Inverse cot(x)

-1/(1+x^2)

Derivative of Inverse sec(x)

1/|x|√(x^2-1)

Derivative of Inverse csc(x)

-1/|x|√(x^2-1)