Hyperbolic Functions

AP Calculus BC Hyperbolic Functions (Derivatives & Inverses)

cosH(x)

(e^x+e^-x)/2

sinH(x)

(e^x-e^-x)/2

cosH^-1(x)

ln(x+sqrt(x²-1))

sinH^-1(x)

ln(x+sqrt(x²+1))

(d/dx) cosH(x)

sinH(x)

(d/dx) sinH(x)

cosH(x)

(d/dx) tanH(x)

secH²(x)

(d/dx) secH(x)

-secH(x)tanH(x)

(d/dx) cscH(x)

-cscH(x)cotH(x)

(d/dx) cotH(x)

-cscH²(x)

(d/dx) cosH^-1(x)

1/sqrt(x²-1)

(d/dx) sinH^-1(x)

1/sqrt(x²+1)

(d/dx) tanH^-1(x)

1/(1-x²)

(d/dx) secH^-1(x)

-1/(|x|sqrt(x²-1))

(d/dx) cscH^-1(x)

-1/(|x|sqrt(x²+1))

(d/dx) cotH^-1(x)

1/(1-x²)