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Beliebt Rechnen >

derivative of (sqrt(x)^4)

Lösung

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

Lösung

2 x

Schritte zur Lösung

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

Vereinfache

(x)^{4} : x^{2}

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 2 x^{2 - 1}

Vereinfache

= 2 x

Graph

Beliebte Beispiele

integral of (t^2)/(\sqrt[3]{t^3+8)}

\int \frac{t ^{2}}{3 t ^{3} + 8} d t

integral of (cos(pi/(x^{19)}))/(x^{20)}

\int \frac{cos ( \frac{π}{x ^{19}} )}{x ^{20}} d x

(dy)/(dx)= 1/x (y^2+0.8y)

\frac{d y}{d x} = \frac{1}{x} (y^{2} + 0.8 y)

integral of (|x|)

\int (∣ x ∣) d x

derivative of 4x^2+3

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