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Beliebt Rechnen >

derivative f(x)=x+sqrt(x)+2

Lösung

ableitung von

f (x) = x + x + 2

Lösung

\frac{1}{2 x} + 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (2) = 0

= 1 + \frac{1}{2 x} + 0

Vereinfache

= \frac{1}{2 x} + 1

Graph

Beliebte Beispiele

(\partial)/(\partial x)(xy(x-2)(y+3))

\frac{\partial}{\partial x} (x y (x - 2) (y + 3))

integral of xln(x+5)

\int x ln (x + 5) d x

(\partial)/(\partial x)(ln(x^2+y^5))

\frac{\partial}{\partial x} (ln (x^{2} + y^{5}))

integral of ln(sqrt(x+2))

\int ln (x + 2) d x

integral of 7x^3e^x

\int 7 x^{3} e^{x} d x