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Beliebt Rechnen >

derivative f(x)=e^{x^6}-x+1

Lösung

ableitung von

f (x) = e^{x^{6}} - x + 1

Lösung

6 e^{x^{6}} x^{5} - 1

Schritte zur Lösung

\frac{d}{d x} (e^{x^{6}} - x + 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (e^{x^{6}}) - \frac{d x}{d x} + \frac{d}{d x} (1)

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

\frac{d x}{d x} = 1

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

= e^{x^{6}} \cdot 6 x^{5} - 1 + 0

Vereinfache

= 6 e^{x^{6}} x^{5} - 1

Graph

Beliebte Beispiele

integral of (6t^2*\sqrt[3]{t})

\int (6 t^{2} \cdot 3 t) d t

(\partial)/(\partial y)(x-y^2)

\frac{\partial}{\partial y} (x - y^{2})

fläche y=-x^2+4,y=3x

a re a y = - x^{2} + 4, y = 3 x

derivative of (3-x^2/(3+x^2))

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

(dy)/(dx)=sqrt(6y)e^{x+9}

\frac{d y}{d x} = 6 y e^{x + 9}