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Beliebt Rechnen >

derivative (x^2-9)^2+2

Lösung

ableitung von

(x^{2} - 9)^{2} + 2

Lösung

4 x^{3} - 36 x

Schritte zur Lösung

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

Vereinfache

(x^{2} - 9)^{2} + 2 : x^{4} - 18 x^{2} + 83

= \frac{d}{d x} (x^{4} - 18 x^{2} + 83)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (18 x^{2}) + \frac{d}{d x} (83)

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

\frac{d}{d x} (18 x^{2}) = 36 x

\frac{d}{d x} (83) = 0

= 4 x^{3} - 36 x + 0

Vereinfache

= 4 x^{3} - 36 x

Graph

Beliebte Beispiele

7x(x+3y)y^'=7y(x-3y)

7 x (x + 3 y) y^{^{'}} = 7 y (x - 3 y)

5(dr)/(ds)=e^{r-8s}

5 \frac{d r}{d s} = e^{r - 8 s}

(\partial)/(\partial x)(4y^2-x^2)

\frac{\partial}{\partial x} (4 y^{2} - x^{2})

integral from-1 to 5 of x^2-4x-5

\int_{- 1}^{5} x^{2} - 4 x - 5 d x

y^{^{'}} + 4 x y^{4} = 0