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Beliebt Rechnen >

(\partial)/(\partial t)(cos^2(t))

Lösung

\frac{\partial}{\partial t} (cos^{2} (t))

Lösung

- sin (2 t)

Schritte zur Lösung

\frac{\partial}{\partial t} (cos^{2} (t))

Wende die Kettenregel an:

2 cos (t) \frac{\partial}{\partial t} (cos (t))

= 2 cos (t) \frac{\partial}{\partial t} (cos (t))

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

= 2 cos (t) (- sin (t))

Vereinfache

2 cos (t) (- sin (t)) : - sin (2 t)

= - sin (2 t)

Beliebte Beispiele

limit as x approaches 0-of 2x+c

x \to 0 - lim (2 x + c)

(dy)/(dx)=(x^2-1)/(y^2)

\frac{d y}{d x} = \frac{x ^{2} - 1}{y ^{2}}

y^{'''}+4y^{''}-5y^'=0

y^{^{'''}} + 4 y^{^{''}} - 5 y^{^{'}} = 0

integral from 0 to 8 of (8x-x^2)

\int_{0}^{8} (8 x - x^{2}) d x

d/(dy)(e^{2x+y})

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