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Beliebt Rechnen >

derivative of x^4+12x^2+42

Lösung

\frac{d}{d x} (x^{4} + 12 x^{2} + 42)

Lösung

4 x^{3} + 24 x

Schritte zur Lösung

\frac{d}{d x} (x^{4} + 12 x^{2} + 42)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (12 x^{2}) + \frac{d}{d x} (42)

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

\frac{d}{d x} (12 x^{2}) = 24 x

\frac{d}{d x} (42) = 0

= 4 x^{3} + 24 x + 0

Vereinfache

= 4 x^{3} + 24 x

Graph

Beliebte Beispiele

derivative of (6x/(2+x^2))

\frac{d}{d x} (\frac{6 x}{2 + x ^{2}})

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

(\partial)/(\partial x)(k)

\frac{\partial}{\partial x} (k)

integral of 1/(ax^2+bx+c)

\int \frac{1}{a x ^{2} + b x + c} d x

y^'-((2x)/(1+x^2))y=0,y(0)=4

y^{^{'}} - (\frac{2 x}{1 + x ^{2}}) y = 0, y (0) = 4