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Beliebt Rechnen >

(\partial)/(\partial t)(cos(t)-sin(t))

Lösung

\frac{\partial}{\partial t} (cos (t) - sin (t))

Lösung

- sin (t) - cos (t)

Schritte zur Lösung

\frac{\partial}{\partial t} (cos (t) - sin (t))

Wende die Summen-/Differenzregel an:

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

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

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

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

= - sin (t) - cos (t)

Beliebte Beispiele

(\partial)/(\partial x)((x+y)/(1+x^2))

\frac{\partial}{\partial x} (\frac{x + y}{1 + x ^{2}})

(d^4)/(dx^4)(1/(1-x))

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

\frac{d}{d t} (t + 3)

(\partial)/(\partial y)(sqrt(7-x^2-2y^2))

\frac{\partial}{\partial y} (7 - x^{2} - 2 y^{2})

tangent f(x)=x^3,\at x=-3

t an g e n t f (x) = x^{3}, at x = - 3