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Beliebt Rechnen >

derivative of 2x^3-15x^2+36x+5

Lösung

\frac{d}{d x} (2 x^{3} - 15 x^{2} + 36 x + 5)

Lösung

6 x^{2} - 30 x + 36

Schritte zur Lösung

\frac{d}{d x} (2 x^{3} - 15 x^{2} + 36 x + 5)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (15 x^{2}) + \frac{d}{d x} (36 x) + \frac{d}{d x} (5)

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

\frac{d}{d x} (15 x^{2}) = 30 x

\frac{d}{d x} (36 x) = 36

\frac{d}{d x} (5) = 0

= 6 x^{2} - 30 x + 36 + 0

Vereinfache

= 6 x^{2} - 30 x + 36

Graph

Beliebte Beispiele

fläche x^2-x,3x+5

a re a x^{2} - x, 3 x + 5

derivative of ((x-2^2)/4)

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

2x^3y^'=y(y^2+3x^2)

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

integral of 6x+1

\int 6 x + 1 d x

tangent y=-(x^2)/(40),(-4sqrt(5),-2)

t an g e n t y = - \frac{x ^{2}}{40}, (- 45, - 2)