(\partial)/(\partial x)(4x^3y^3+4)

Lösung

\frac{\partial}{\partial x} (4 x^{3} y^{3} + 4)

12 x^{2} y^{3}

Schritte zur Lösung

\frac{\partial}{\partial x} (4 x^{3} y^{3} + 4)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4 x^{3} y^{3}) + \frac{\partial}{\partial x} (4)

\frac{\partial}{\partial x} (4 x^{3} y^{3}) = 12 y^{3} x^{2}

\frac{\partial}{\partial x} (4) = 0

= 12 y^{3} x^{2} + 0

Vereinfache

= 12 x^{2} y^{3}

t an g e n t f (x) = 4 x^{3} - 42 x^{2} + 146 x + 48

\frac{d}{d t} (4 sin (2 t))

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

\frac{d}{d x} (\frac{11 - 11 x}{7 x ^{\frac{3}{7}}})

\frac{\partial}{\partial v} (\frac{1}{v})