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Beliebt Rechnen >

derivative 5x^2-1+7e^x

Lösung

ableitung von

5 x^{2} - 1 + 7 e^{x}

Lösung

10 x + 7 e^{x}

Schritte zur Lösung

\frac{d}{d x} (5 x^{2} - 1 + 7 e^{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (1) + \frac{d}{d x} (7 e^{x})

\frac{d}{d x} (5 x^{2}) = 10 x

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

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

= 10 x - 0 + 7 e^{x}

Vereinfache

= 10 x + 7 e^{x}

Graph

Beliebte Beispiele

(\partial}{\partial x}(\frac{3y)/x)

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

y^{''}+6y^'+25=0

y^{^{''}} + 6 y^{^{'}} + 25 = 0

y^{''}+6y^'+10y=5t-2

y^{^{''}} + 6 y^{^{'}} + 10 y = 5 t - 2

integral from 1 to 3 of pi(1/x+1)^2

\int_{1}^{3} π (\frac{1}{x} + 1)^{2} d x

y^2e^t+(e^t+2)y^'=0

y^{2} e^{t} + (e^{t} + 2) y^{^{'}} = 0