Rumus Turunan Pertama dari fungsi Invers Trigonometri dan fungsi hiperbol Trigonometri

Rumus Turunan Pertama dari fungsi Invers Trigonometri

1. d/dx(arc sin⁡ u )= 1/√(1- u^2 ) (du/dx)

2. d/dx(arc cos⁡ u )= (-1)/√(1- u^2 ) (du/dx)

3. d/dx ( arc tg u)= 1/(1+ u^2 ) (du/dx)

4. d/dx ( arc sec u)= 1/(|u| √(u^2- 1)) (du/dx)

5. d/dx ( arc ctg u)= (-1)/(1+ u^2 ) (du/dx)

6. d/dx ( arc cosec u)= (-1)/(|u| √(u^2- 1)) (du/dx)

Fungsi Hiperbol Trogonometri

1. Sinh = (e^x- e^(-x) )/2 cosh = (e^x+ e^(-x) )/2

2. tanh = (e^x- e^(-x) )/(e^x+ e^(-x) )

3. coth = (e^x+ e^(-x) )/(e^x- e^(-x) )

4. sech = (2 )/(e^x+ e^(-x) )

1. d/dx(sinh⁡ u )  = -coshu (du/dx) =  (e^x+ e^(-x) )/2 (du/dx)

2. d/dx(cosh⁡ u ) =  sinhu (du/dx) =  (e^x- e^(-x) )/2 (du/dx)

3. d/dx(tanh⁡ u ) =  sech^2 u (du/dx) = ((2 )/(e^x+ e^(-x) ))^2 (du/dx)

4. d/dx(coth⁡ u ) =Rumus Turunan Pertama dari fungsi hiperbol Trigonometri  – cosech^2 u (du/dx) = -((2 )/(e^x- e^(-x) ))^2 (du/dx)

5. d/dx(sech⁡ u ) = – sech u tanh⁡ u (du/dx) =  – ((2 )/(e^x+ e^(-x) ))^2 ((e^x- e^(-x) )/(e^x+ e^(-x) ))(du/dx)

6. d/dx(cosech⁡ u ) = – cosech u coth⁡ u (du/dx) =  – ((2 )/(e^x- e^(-x) ))^2 ((e^x+ e^(-x) )/(e^x- e^(-x) ))(du/dx)

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Rumus Turunan Pertama dari fungsi Invers Trigonometri , Fungsi Hiperbol Trogonometri , Rumus Turunan Pertama dari fungsi hiperbol Trigonometri