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Beliebt Rechnen >

derivative of x^5-4x^3+x-1

Lösung

\frac{d}{d x} (x^{5} - 4 x^{3} + x - 1)

Lösung

5 x^{4} - 12 x^{2} + 1

Schritte zur Lösung

\frac{d}{d x} (x^{5} - 4 x^{3} + x - 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{5}) - \frac{d}{d x} (4 x^{3}) + \frac{d x}{d x} - \frac{d}{d x} (1)

\frac{d}{d x} (x^{5}) = 5 x^{4}

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d x}{d x} = 1

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

= 5 x^{4} - 12 x^{2} + 1 - 0

Vereinfache

= 5 x^{4} - 12 x^{2} + 1

Graph

Beliebte Beispiele

24y^{'''}+2y^{''}-5y^'-y=0

24 y^{^{'''}} + 2 y^{^{''}} - 5 y^{^{'}} - y = 0

integral of-cos^4(x)

\int - cos^{4} (x) d x

tangent f(x)=6x^2-4x+5

t an g e n t f (x) = 6 x^{2} - 4 x + 5

integral of (2\sqrt[3]{x^5})/3

\int \frac{2 3 x ^{5}}{3} d x

limit as x approaches 1-of sqrt(3-3x)

x \to 1 - lim (3 - 3 x)