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Beliebt Rechnen >

derivative f(x)=sin(x)cos(x)-x^2

Lösung

ableitung von

f (x) = sin (x) cos (x) - x^{2}

Lösung

cos (2 x) - 2 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (x^{2}) = 2 x

= cos (2 x) - 2 x

Graph

Beliebte Beispiele

integral of xe^{-2/5 x}

\int x e^{- \frac{2}{5} x} d x

(dy)/(dx)=\sqrt[3]{x}

\frac{d y}{d x} = 3 x

integral of 1/((x-1)(x^2+1))

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

y^{''}-5y^'-6y=12e^2t

y^{^{''}} - 5 y^{^{'}} - 6 y = 12 e^{2} t

(\partial)/(\partial x)(ye^{3x})

\frac{\partial}{\partial x} (y e^{3 x})