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Beliebt Rechnen >

derivative 6x^5+4e^x

Lösung

ableitung von

6 x^{5} + 4 e^{x}

Lösung

30 x^{4} + 4 e^{x}

Schritte zur Lösung

\frac{d}{d x} (6 x^{5} + 4 e^{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (6 x^{5}) + \frac{d}{d x} (4 e^{x})

\frac{d}{d x} (6 x^{5}) = 30 x^{4}

\frac{d}{d x} (4 e^{x}) = 4 e^{x}

= 30 x^{4} + 4 e^{x}

Graph

Beliebte Beispiele

integral of (9x^2)/(sqrt(x^2-4))

\int \frac{9 x ^{2}}{x ^{2} - 4} d x

x y^{^{'}} = y^{2} - y

integral from 0 to 7 of sqrt(x^2-49)

\int_{0}^{7} x^{2} - 49 d x

(d^2)/(dx^2)(sqrt(x^2+64))

\frac{d ^{2}}{d x ^{2}} (x^{2} + 64)

integral of 7ln(x^2-x+8)

\int 7 ln (x^{2} - x + 8) d x