erweitern arctan(f(5x^2+4))

Lösung

erweitern

arctan (f (5 x^{2} + 4))

arctan (5 f x^{2} + 4 f)

Schritte zur Lösung

arctan (f (5 x^{2} + 4))

Multipliziere aus

f (5 x^{2} + 4) : 5 f x^{2} + 4 f

= arctan (5 f x^{2} + 4 f)

e x p an d 1 - x - (\frac{1}{2} - \frac{x ^{2}}{2})

e x p an d \frac{2 x - 5}{( 2 x - 4 ) ( x - 4 ) ( x - 5 )}

e x p an d \frac{- 4 x ^{3} + 1}{2 x ^{\frac{1}{2}} ( x ^{3} + 1 ) ^{2}}

e x p an d (2 x^{3} + 9 x^{2} + 3 x - 4) d i v i d e (x + 4)

\frac{d}{d x} ((f (x, y)) f (x, y) (x^{3} - 3 x y + y^{2}))