Inverse Hyperbolic functions – Derivation formulas

Inverse Hyperbolic functions 1. ddxsinh-1x=11+x2 2. ddxcosh-1x=1x2-1 3. ddxtanh-1x=11-x2, |x|\lt1 4. ddxcoth-1x=1x2-1, |x|>1 5. ddxsech-1x=-1x1-x2, 0\ltx\lt1 6. ddxcosec h-1x=-1x1+x2, x>0 Example 1: Differentiate y=tanh-1(sinx) Solution: y'=11-sin2x·ddx(sinx) y'=11-sin2x·cosx y'=cosxcos2x y'=secx

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