erweitern derivative of (1-x^2arctan(x))-x

Lösung

erweitern

\frac{d}{d x} ((1 - x^{2}) arctan (x)) - x

\frac{d}{d x} (arctan (x) - x^{2} arctan (x)) - x

Schritte zur Lösung

\frac{d}{d x} ((1 - x^{2}) arctan (x)) - x

Multipliziere aus

(1 - x^{2}) arctan (x) : arctan (x) - x^{2} arctan (x)

= \frac{d}{d x} (- x^{2} arctan (x) + arctan (x)) - x

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

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

e x p an d \frac{x ( 2 x ^{3} + y )}{6 y ^{2}}

e x p an d \frac{\frac{d}{d x} ( x ^{3} - 2 )}{( 4 x + 3 ) ( 6 x - 2 )}

e x p an d (a + b) a^{3} - a^{2} b + a b^{2}