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Beliebt Rechnen >

derivative f(x)=e^pi+pi^x

Lösung

ableitung von

f (x) = e^{π} + π^{x}

Lösung

ln (π) π^{x}

Schritte zur Lösung

\frac{d}{d x} (e^{π} + π^{x})

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (e^{π}) = 0

\frac{d}{d x} (π^{x}) = π^{x} ln (π)

= 0 + π^{x} ln (π)

Vereinfache

= ln (π) π^{x}

Graph

Beliebte Beispiele

derivative of x^2-4xy+y^2=4

\frac{d}{d x} (x^{2} - 4 x y + y^{2}) = 4

integral of (3+z)/(1-z^2)

\int \frac{3 + z}{1 - z ^{2}} d z

sum from n=0 to infinity of 1/(n^2)x^n

n = 0 \sum \infty \frac{1}{n ^{2}} x^{n}

fläche y= 2/3 x^{3/2}+3,[0,2]

a re a y = \frac{2}{3} x^{\frac{3}{2}} + 3, [0, 2]

derivative y=x^n

d er i v a t i v e y = x^{n}