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Beliebt Rechnen >

derivative of 0.5sin^2(x-x+1)

Lösung

\frac{d}{d x} (0.5 sin^{2} (x) - x + 1)

Lösung

sin (x) cos (x) - 1

Schritte zur Lösung

\frac{d}{d x} (0.5 sin^{2} (x) - x + 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (0.5 sin^{2} (x)) - \frac{d x}{d x} + \frac{d}{d x} (1)

\frac{d}{d x} (0.5 sin^{2} (x)) = sin (x) cos (x)

\frac{d x}{d x} = 1

\frac{d}{d x} (1) = 0

= sin (x) cos (x) - 1 + 0

Vereinfache

= sin (x) cos (x) - 1

Graph

Beliebte Beispiele

inverselaplace 4/((s+1)^2)

in v erse l a pl a ce \frac{4}{( s + 1 ) ^{2}}

t \cdot y^{^{'}} + t y = 1 - y

laplacetransform t^2*e^{a*t}

l a pl a ce t r an s f or m t^{2} \cdot e^{a \cdot t}

t^2y^{''}+19ty^'+81y=0

t^{2} y^{^{''}} + 19 t y^{^{'}} + 81 y = 0

integral of sqrt(1+cot^2(x))

\int 1 + cot^{2} (x) d x