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Beliebt Rechnen >

derivative of 3x^4+4x^3

Lösung

\frac{d}{d x} (3 x^{4} + 4 x^{3})

Lösung

12 x^{3} + 12 x^{2}

Schritte zur Lösung

\frac{d}{d x} (3 x^{4} + 4 x^{3})

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (3 x^{4}) = 12 x^{3}

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

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

Graph

Beliebte Beispiele

(\partial)/(\partial x)(60-x^2y^3)

\frac{\partial}{\partial x} (60 - x^{2} y^{3})

integral from-125 to 27 of 1/(x^{1/3)}

\int_{- 125}^{27} \frac{1}{x ^{\frac{1}{3}}} d x

derivative (2x^7-5x^4+2)^{25}

d er i v a t i v e (2 x^{7} - 5 x^{4} + 2)^{25}

integral of 7^{-x}

\int 7^{- x} d x

d/(dt)((4+t)/(te^t))

\frac{d}{d t} (\frac{4 + t}{t e ^{t}})