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Beliebt Rechnen >

derivative y=9+5x^2-2x^3

Lösung

ableitung von

y = 9 + 5 x^{2} - 2 x^{3}

Lösung

- 6 x^{2} + 10 x

Schritte zur Lösung

\frac{d}{d x} (9 + 5 x^{2} - 2 x^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (9) + \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (2 x^{3})

\frac{d}{d x} (9) = 0

\frac{d}{d x} (5 x^{2}) = 10 x

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

= 0 + 10 x - 6 x^{2}

Vereinfache

= - 6 x^{2} + 10 x

Graph

Beliebte Beispiele

2y^'+4y=2te^{-2t}

2 y^{^{'}} + 4 y = 2 t e^{- 2 t}

integral of sqrt((3-x)/(3+x))

\int \frac{3 - x}{3 + x} d x

integral of (sqrt(ln|x|))/x

\int \frac{ln ∣ x ∣}{x} d x

integral of 3/(xsqrt(9-(ln(x))^2))

\int \frac{3}{x 9 - ( ln ( x ) ) ^{2}} d x

tangent f(x)=x^2-10x+2,\at x=0

t an g e n t f (x) = x^{2} - 10 x + 2, at x = 0