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Beliebt Rechnen >

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

Lösung

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

Lösung

12 x^{2}

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 4 \cdot 3 x^{3 - 1}

Vereinfache

= 12 x^{2}

Beliebte Beispiele

tangent f(x)=8x-x^2,\at x=1

t an g e n t f (x) = 8 x - x^{2}, at x = 1

integral of (2+3x^2-8x^3)

\int (2 + 3 x^{2} - 8 x^{3}) d x

y^{''}+3y^'+2y=15+ex

y^{^{''}} + 3 y^{^{'}} + 2 y = 15 + e x

derivative of ace^{-e^{c(b-x}+c(b-x)})

\frac{d}{d x} (a c e^{- e^{c (b - x)} + c (b - x)})

integral of tan(x)sec^6(x)

\int tan (x) sec^{6} (x) d x