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Beliebt Rechnen >

derivative of x^3+2x+1

Lösung

\frac{d}{d x} (x^{3} + 2 x + 1)

Lösung

3 x^{2} + 2

Schritte zur Lösung

\frac{d}{d x} (x^{3} + 2 x + 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (2 x) + \frac{d}{d x} (1)

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

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

\frac{d}{d x} (1) = 0

= 3 x^{2} + 2 + 0

Vereinfache

= 3 x^{2} + 2

Graph

Beliebte Beispiele

integral of sin(3x+2)

\int sin (3 x + 2) d x

tangent y=4xcos(x),\at x=pi

t an g e n t y = 4 x cos (x), at x = π

integral of 1/(csc^2(x))

\int \frac{1}{csc ^{2} ( x )} d x

slopeintercept (2.1)(8.7)

s l o p e in t erce pt (2.1) (8.7)

(\partial)/(\partial x)(sin(3x-2y))

\frac{\partial}{\partial x} (sin (3 x - 2 y))