erweitern (derivative of (x^2+6(x^3+6)))/((x^2+4))

Lösung

erweitern

\frac{\frac{d}{d x} ( ( x ^{2} + 6 ) ( x ^{3} + 6 ) )}{( x ^{2} + 4 )}

\frac{\frac{d}{d x} ( x ^{5} + 6 x ^{2} + 6 x ^{3} + 36 )}{x ^{2} + 4}

Schritte zur Lösung

\frac{\frac{d}{d x} ( ( x ^{2} + 6 ) ( x ^{3} + 6 ) )}{x ^{2} + 4}

Multipliziere aus

(x^{2} + 6) (x^{3} + 6) : x^{5} + 6 x^{2} + 6 x^{3} + 36

= \frac{\frac{d}{d x} ( x ^{5} + 6 x ^{2} + 6 x ^{3} + 36 )}{x ^{2} + 4}

e x p an d (0, 4 a - 5 b) (0.4 a + 5 b)

e x p an d \frac{3 x ^{2} + 6 x + 9}{( x ^{2} + 2 x + 2 ) ( x ^{2} + 2 x + 5 )}

e x p an d \frac{14 sin ( θ )}{( 1 + cos ( θ ) ) ^{2}}

\frac{\partial}{\partial y} ((x) (x^{2} + 2 - x y - y))

e x p an d (1 - t) s L + (1 - L) - \frac{( 1 - L ) ^{2}}{2} + xg