derivative of (sqrt((x^2+5^3))/9+3)

Lösung

\frac{d}{d x} \frac{( x ^{2} + 5 ) ^{3}}{9} + 3

\frac{x x ^{2} + 5}{3}

Schritte zur Lösung

\frac{d}{d x} \frac{( x ^{2} + 5 ) ^{3}}{9} + 3

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} \frac{( x ^{2} + 5 ) ^{3}}{9} + \frac{d}{d x} (3)

\frac{d}{d x} \frac{( x ^{2} + 5 ) ^{3}}{9} = \frac{x x ^{2} + 5}{3}

\frac{d}{d x} (3) = 0

= \frac{x x ^{2} + 5}{3} + 0

Vereinfache

= \frac{x x ^{2} + 5}{3}

\int_{0}^{2} π e^{2 x} d x

\frac{\partial}{\partial x} ((5 x + 6)^{2})

x \to \frac{π}{2} lim (\frac{1}{3} tan (x))

\frac{\partial}{\partial x} (6 e^{x y + 4})

d er i v a t i v e y = e^{x^{2} + 3 x} + 2 x