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Beliebt Rechnen >

derivative 9t^2+sqrt(t^3)

Lösung

ableitung von

9 t^{2} + t^{3}

Lösung

18 t + \frac{3 t}{2}

Schritte zur Lösung

\frac{d}{d t} (9 t^{2} + t^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (9 t^{2}) + \frac{d}{d t} (t^{3})

\frac{d}{d t} (9 t^{2}) = 18 t

\frac{d}{d t} (t^{3}) = \frac{3 t}{2}

= 18 t + \frac{3 t}{2}

Graph

Beliebte Beispiele

derivative of log_{10}(2x-3)

\frac{d}{d x} (lo g_{10} (2 x - 3))

integral of (x^2+12x-4)/(x^3-4x)

\int \frac{x ^{2} + 12 x - 4}{x ^{3} - 4 x} d x

(\partial)/(\partial x)(4xln(y)+yln(z)-4x)

\frac{\partial}{\partial x} (4 x ln (y) + y ln (z) - 4 x)

integral of (x^2)/(x-10)

\int \frac{x ^{2}}{x - 10} d x

(dy)/(dx)=(4x+y)^2

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