erweitern derivative of (x^3+1e^x)-15*arcsinh(x)

Lösung

erweitern

\frac{d}{d x} ((x^{3} + 1) e^{x}) - 15 \cdot arcsinh (x)

\frac{d}{d x} (e^{x} x^{3} + e^{x}) - 15 arcsinh (x)

Schritte zur Lösung

\frac{d}{d x} ((x^{3} + 1) e^{x}) - 15 arcsinh (x)

Multipliziere aus

(x^{3} + 1) e^{x} : e^{x} x^{3} + e^{x}

= \frac{d}{d x} (e^{x} x^{3} + e^{x}) - 15 arcsinh (x)

e x p an d (1 + sin (θ))^{3}

e x p an d [x - (4 i - 2)] [x - (4 i + 2)] (x - 2)

e x p an d 5 (3 x^{2} - 4 x + 1)^{4} \frac{d}{d x} (3 x^{2} - 4 x + 1)

e x p an d \frac{27 e ^{x} - 3 e ^{3 x}}{( 3 + e ^{x} ) ^{4}}

e x p an d (5 + 2 x^{\frac{1}{2}})^{4}