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Beliebt Rechnen >

derivative y=sqrt(x)+x^pi

Lösung

ableitung von

y = x + x^{π}

Lösung

\frac{1}{2 x} + π x^{π - 1}

Schritte zur Lösung

\frac{d}{d x} (x + x^{π})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x) + \frac{d}{d x} (x^{π})

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

\frac{d}{d x} (x^{π}) = π x^{π - 1}

= \frac{1}{2 x} + π x^{π - 1}

Graph

Beliebte Beispiele

tangent f(x)= 1/(4+3x),\at x=2

t an g e n t f (x) = \frac{1}{4 + 3 x}, at x = 2

y=-x^{-1}+3/5 x+1/2

y = - x^{- 1} + \frac{3}{5} x + \frac{1}{2}

integral of (t^2+2t+1)^4(t+1)

\int (t^{2} + 2 t + 1)^{4} (t + 1) d t

integral from 0 to 5 of |9-3t|

\int_{0}^{5} ∣ 9 - 3 t ∣ d t

fläche y=x,y=x^2,y=-x+1

a re a y = x, y = x^{2}, y = - x + 1