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Beliebt Rechnen >

derivative of x^4-8x^2+16

Lösung

\frac{d}{d x} (x^{4} - 8 x^{2} + 16)

Lösung

4 x^{3} - 16 x

Schritte zur Lösung

\frac{d}{d x} (x^{4} - 8 x^{2} + 16)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (8 x^{2}) + \frac{d}{d x} (16)

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

\frac{d}{d x} (8 x^{2}) = 16 x

\frac{d}{d x} (16) = 0

= 4 x^{3} - 16 x + 0

Vereinfache

= 4 x^{3} - 16 x

Graph

Beliebte Beispiele

d/(dy)(1/(y^3))

\frac{d}{d y} (\frac{1}{y ^{3}})

(\partial)/(\partial x)(2x^2+5y^2-xy)

\frac{\partial}{\partial x} (2 x^{2} + 5 y^{2} - x y)

integral from x to x^2 of e^{t^2}

\int_{x}^{x^{2}} e^{t^{2}} d t

derivative tan^4(x^3)

d er i v a t i v e tan^{4} (x^{3})

fläche f(x)=x^2,x=5

a re a f (x) = x^{2}, x = 5