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Beliebt Rechnen >

derivative of 3e^{x^2+x}

Lösung

\frac{d}{d x} (3 e^{x^{2} + x})

Lösung

3 e^{x^{2} + x} (2 x + 1)

Schritte zur Lösung

\frac{d}{d x} (3 e^{x^{2} + x})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (e^{x^{2} + x})

Wende die Kettenregel an:

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

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

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

= 3 e^{x^{2} + x} (2 x + 1)

Graph

Beliebte Beispiele

y y^{^{'}} = \frac{7}{x}

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

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

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

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

y^{''}-10y^'+25y=t^{-7}e^{5t}

y^{^{''}} - 10 y^{^{'}} + 25 y = t^{- 7} e^{5 t}

derivative of x^2sin^7(x+xcos^{-2}(x))

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