(\partial)/(\partial x)(x^{10}+xy^{11}+9)

Lösung

\frac{\partial}{\partial x} (x^{10} + x y^{11} + 9)

10 x^{9} + y^{11}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{10} + x y^{11} + 9)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{10}) + \frac{\partial}{\partial x} (x y^{11}) + \frac{\partial}{\partial x} (9)

\frac{\partial}{\partial x} (x^{10}) = 10 x^{9}

\frac{\partial}{\partial x} (x y^{11}) = y^{11}

\frac{\partial}{\partial x} (9) = 0

= 10 x^{9} + y^{11} + 0

Vereinfache

= 10 x^{9} + y^{11}

\frac{d}{d x} (cos^{2} (x^{4}))

\int_{0}^{2} \frac{x}{8} d x

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

\int \frac{x ^{2}}{x ^{2} + 1} d x

t a y l or 7 x e^{x}