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Beliebt Rechnen >

derivative 7xsin(x)+x^2e^x

Lösung

ableitung von

7 x \cdot sin (x) + x^{2} \cdot e^{x}

Lösung

7 (sin (x) + x cos (x)) + 2 x e^{x} + e^{x} x^{2}

Schritte zur Lösung

\frac{d}{d x} (7 x sin (x) + x^{2} e^{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (7 x sin (x)) + \frac{d}{d x} (x^{2} e^{x})

\frac{d}{d x} (7 x sin (x)) = 7 (sin (x) + x cos (x))

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

= 7 (sin (x) + x cos (x)) + 2 x e^{x} + e^{x} x^{2}

Graph

Beliebte Beispiele

derivative of 1/(3x^2-5/(2x))

\frac{d}{d x} (\frac{1}{3 x ^{2}} - \frac{5}{2 x})

x^2y^'-4xy=sin(2x)x^6

x^{2} y^{^{'}} - 4 x y = sin (2 x) x^{6}

derivative of sqrt(a+bx)

\frac{d}{d x} (a + b x)

derivative of (2xe^x/(x^2+1))

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

integral of 7x^2sin(2x)

\int 7 x^{2} sin (2 x) d x