Calc Exam 2 derivatives for trigonometric and hyperbolic trigonometric functions (and their inverses)

Sin(x)

Cos(x)

Cos(x)

-sin(x)

Tan(x)

Sec²(x)

Cot(x)

-csc²(x)

Sec(x)

Sec(x) * tan(x)

Csc(x)

-csc(x) * cot(x)

Sinh(x)

Cosh(x)

Cosh(x)

Sinh(x)

Tanh(x)

Sec²h(x)

Coth(x)

-csch²(x)

Sech(x)

-sech(x) * tanh(x)

Csch(x)

-csch(x) * coth(x)

Sin^-1(x)

1/sqar(1-x²)

Cos^-1(x)

-1/sqar(1-x²)

Tan^-1(x)

1/(1+x²)

Cot^-1(x)

-1/(1+x²)

Sec^-1(x)

1/|x|sqar(x²-1)

Csc^-1(x)

-1/|x|sqar(x²-1)

Sinh^-1(x)

1/sqar(1+x²)

Cosh^-1(x)

1/sqar(x²-1)

Tanh^-1(x)

1/(1-x²)

Coth^-1(x)

1/(1-x²)

Sech^-1(x)

-1/(x)sqar(1-x²)

Csch^-1(x)

-1/|x|sqar(x²+1)