erweitern (x^{3/4}sqrt(x^2+1))/((3x+2)^5)

Lösung

erweitern

\frac{x ^{\frac{3}{4}} x ^{2} + 1}{( 3 x + 2 ) ^{5}}

\frac{x ^{\frac{3}{4}} x ^{2} + 1}{243 x ^{5} + 810 x ^{4} + 1080 x ^{3} + 720 x ^{2} + 240 x + 32}

Schritte zur Lösung

\frac{x ^{\frac{3}{4}} x ^{2} + 1}{( 3 x + 2 ) ^{5}}

(3 x + 2)^{5} = 243 x^{5} + 810 x^{4} + 1080 x^{3} + 720 x^{2} + 240 x + 32

= \frac{x ^{\frac{3}{4}} x ^{2} + 1}{243 x ^{5} + 810 x ^{4} + 1080 x ^{3} + 720 x ^{2} + 240 x + 32}

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

e x p an d (cos (t) - sin^{2} (t))^{2}

e x p an d (1 + t)^{2} - 2 cos (2 t) + 2 sin (3 t) - 4 e^{- 3 t}

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

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