derivative of (x+h^3)

Lösung

\frac{d}{d x} ((x + h)^{3})

3 (x + h)^{2}

Schritte zur Lösung

\frac{d}{d x} ((x + h)^{3})

Behandle

h

als Konstante

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x + h) = 1

= 3 (x + h)^{2} \cdot 1

Vereinfache

= 3 (x + h)^{2}

\frac{\partial}{\partial x} (2 x y^{3} cos (x^{2} y^{3}))

\frac{\partial}{\partial y} (3 tan (x y))

\frac{d y}{d x} = 3 (y^{2} + 1)

\frac{\partial}{\partial x} (2 x y e^{x y^{2}})

t an g e n t f (x) = tan (x), (\frac{π}{4}, 1)