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Beliebt Rechnen >

derivative of 4x^5+2x^3+6x^2+3x

Lösung

\frac{d}{d x} (4 x^{5} + 2 x^{3} + 6 x^{2} + 3 x)

Lösung

20 x^{4} + 6 x^{2} + 12 x + 3

Schritte zur Lösung

\frac{d}{d x} (4 x^{5} + 2 x^{3} + 6 x^{2} + 3 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{5}) + \frac{d}{d x} (2 x^{3}) + \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (3 x)

\frac{d}{d x} (4 x^{5}) = 20 x^{4}

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

\frac{d}{d x} (6 x^{2}) = 12 x

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

= 20 x^{4} + 6 x^{2} + 12 x + 3

Graph

Beliebte Beispiele

integral of 8e^{2θ}sin(2θ)

\int 8 e^{2 θ} sin (2 θ) d θ

y^'+y=x*e^{-x}+1

y^{^{'}} + y = x \cdot e^{- x} + 1

tangent 2x^3+36x^2+210x+11

t an g e n t 2 x^{3} + 36 x^{2} + 210 x + 11

integral of ax^3

\int a x^{3} d x

integral from 3 to 4 of 1/(x^2-4)

\int_{3}^{4} \frac{1}{x ^{2} - 4} d x