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Beliebt Rechnen >

derivative f(x)=sqrt(x)+\sqrt[7]{x}

Lösung

ableitung von

f (x) = x + 7 x

Lösung

\frac{1}{2 x} + \frac{1}{7 x ^{\frac{6}{7}}}

Schritte zur Lösung

\frac{d}{d x} (x + 7 x)

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (7 x) = \frac{1}{7 x ^{\frac{6}{7}}}

= \frac{1}{2 x} + \frac{1}{7 x ^{\frac{6}{7}}}

Graph

Beliebte Beispiele

derivative of-x^3+3x

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

(\partial)/(\partial x)((x+y)^5+(x-y)^5)

\frac{\partial}{\partial x} ((x + y)^{5} + (x - y)^{5})

tangent f(x)=tan^2(x),\at x=-pi/4

t an g e n t f (x) = tan^{2} (x), at x = - \frac{π}{4}

derivative f(x)=13xe^x

d er i v a t i v e f (x) = 13 x e^{x}

derivative y=\sqrt[3]{1+8x}

d er i v a t i v e y = 3 1 + 8 x