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Beliebt Rechnen >

(\partial)/(\partial t)(t^2x-t)

Lösung

\frac{\partial}{\partial t} (t^{2} x - t)

Lösung

2 x t - 1

Schritte zur Lösung

\frac{\partial}{\partial t} (t^{2} x - t)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial t} (t^{2} x) - \frac{\partial}{\partial t} (t)

\frac{\partial}{\partial t} (t^{2} x) = 2 x t

\frac{\partial}{\partial t} (t) = 1

= 2 x t - 1

Beliebte Beispiele

integral of x/(sqrt(x^2+9))

\int \frac{x}{x ^{2} + 9} d x

laplacetransform 6t^3+5cos(2t)

l a pl a ce t r an s f or m 6 t^{3} + 5 cos (2 t)

derivative of x^2sqrt(8x-5)

\frac{d}{d x} (x^{2} 8 x - 5)

sum from n=0 to infinity of 4(1/10)^n

n = 0 \sum \infty 4 (\frac{1}{10})^{n}

t^{2} y^{^{'}} + t y = 7