Inverse Hyperbolic Functions (Pages What you should the inverse hyperbolic function given by each of the How to develop following definitions and give the domain for each. properties of inverse Domain hyperbolic functions (x ln + 1) = , . x2 x + (x = , [1, . x2 x ln + 1 x ln 1 + x = , 1) . x 1 ln 1 = , (1, . + x x 2 x x ln 1 1 + x2 = , (0, 1] . x 1 1 + x2 ln = , 0) (0, . + x x x Differentiation and Integration of Inverse Hyperbolic What you should learn Functions (Pages How to differentiate and integrate functions Let be a differentiable function of Complete each of the u x. involving inverse following rules of differentiation and integration. hyperbolic functions [ d ] = u 1 dx u2 + [ d ] = u dx u2 [ ] d u = 1 dx u2
Inverse Hyperbolic Functions (Pages the inverse hyperbolic function given by each of the following definitions and give the domain for each. Domain What you should How to develop properties of inverse hyperbolic functions ln (x + ln (x + x2 + 1) = x , . x2 = x , [1, . ln 1 + x 1 x = x , 1) . 1 ln x + 1 = x , (1, . 2 x ln 1 + 1 x2 x = x , (0, 1] . 1 1 + x2 ln + = x , 0) (0, . x x Differentiation and Integration of Inverse Hyperbolic Functions (Pages Let u be a differentiable function of x. Complete each of the following rules of differentiation and integration. What you should learn How to differentiate and integrate functions involving inverse hyperbolic functions d [ u ] = dx u2 + 1 d [ u ] = dx u2 d [ u ] = dx 1 u2
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