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Beliebt Rechnen >

(\partial)/(\partial t)(x+ysin(t))

Lösung

\frac{\partial}{\partial t} (x + y sin (t))

Lösung

y cos (t)

Schritte zur Lösung

\frac{\partial}{\partial t} (x + y sin (t))

Behandle

x, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial t} (x) + \frac{\partial}{\partial t} (y sin (t))

\frac{\partial}{\partial t} (x) = 0

\frac{\partial}{\partial t} (y sin (t)) = y cos (t)

= 0 + y cos (t)

Vereinfache

= y cos (t)

Beliebte Beispiele

integral of t^2-9

\int t^{2} - 9 d t

integral of (3x^2+4x+2)

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

derivative of (48/((1-2x)^4))

\frac{d}{d x} (\frac{48}{( 1 - 2 x ) ^{4}})

derivative of ln(x+sqrt(2+x^2))

\frac{d}{d x} (ln (x + 2 + x^{2}))

xy^2y^'=x^3+y^3

x y^{2} y^{^{'}} = x^{3} + y^{3}