(\partial)/(\partial x)(3x^4y^2+3)

Lösung

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

12 x^{3} y^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

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

\int e^{x} 64 - e^{2 x} d x

x \to 0 lim (\frac{e ^{x} - 2 ^{x}}{x})

t an g e n t f (x) = ln (4 - x^{2} + 2 x^{4}), at x = 1

l a pl a ce t r an s f or m f (t) = \frac{9}{4} t^{2} \cdot e^{2 t} \cdot e^{3 t}

\int 128 cos^{4} (8 x) d x