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Beliebt Rechnen >

derivative of x^3+4x^2

Lösung

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

Lösung

3 x^{2} + 8 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (4 x^{2}) = 8 x

= 3 x^{2} + 8 x

Graph

Beliebte Beispiele

y^'=(x^4y^4+x^4)/(y^3)

y^{^{'}} = \frac{x ^{4} y ^{4} + x ^{4}}{y ^{3}}

derivative of 3/(sqrt(x+3))

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

limit as x approaches 0+of x^{16x}

x \to 0 + lim (x^{16 x})

y^{^{'''}} + 2 x \cdot x = 0

integral of (x^5+x^4-8)/(x^3-4x)

\int \frac{x ^{5} + x ^{4} - 8}{x ^{3} - 4 x} d x