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Beliebt Rechnen >

derivative of 2x^4+4x^3+x

Lösung

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

Lösung

8 x^{3} + 12 x^{2} + 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (2 x^{4}) = 8 x^{3}

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

\frac{d x}{d x} = 1

= 8 x^{3} + 12 x^{2} + 1

Graph

Beliebte Beispiele

derivative f(x)=(x^2)/(1+2x)

d er i v a t i v e f (x) = \frac{x ^{2}}{1 + 2 x}

limit as x approaches 0 of 1-(x^2)/6

x \to 0 lim (1 - \frac{x ^{2}}{6})

derivative of sqrt(x)-2e^x

\frac{d}{d x} (x - 2 e^{x})

xy^'+y^'-(x+1)sin(x)+y=0

x y^{^{'}} + y^{^{'}} - (x + 1) sin (x) + y = 0

inverselaplace 6/s+(8(4))/(s^2+16)

in v erse l a pl a ce \frac{6}{s} + \frac{8 ( 4 )}{s ^{2} + 16}