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Beliebt Rechnen >

derivative of x^4-8x^2+17

Lösung

\frac{d}{d x} (x^{4} - 8 x^{2} + 17)

Lösung

4 x^{3} - 16 x

Schritte zur Lösung

\frac{d}{d x} (x^{4} - 8 x^{2} + 17)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (8 x^{2}) + \frac{d}{d x} (17)

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

\frac{d}{d x} (8 x^{2}) = 16 x

\frac{d}{d x} (17) = 0

= 4 x^{3} - 16 x + 0

Vereinfache

= 4 x^{3} - 16 x

Graph

Beliebte Beispiele

integral of (x^4)/(sqrt(4-x^2))

\int \frac{x ^{4}}{4 - x ^{2}} d x

derivative 1/5 x^5

d er i v a t i v e \frac{1}{5} x^{5}

integral of sin(x)sin(nx)

\int sin (x) sin (n x) d x

derivative of log_{10}(x^3)

\frac{d}{d x} (lo g_{10} (x^{3}))

tangent y=x^3-15x,(2,-22)

t an g e n t y = x^{3} - 15 x, (2, - 22)