de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative e^p(p+psqrt(p))

Lösung

ableitung von

e^{p} (p + p p)

Lösung

e^{p} (p + p^{\frac{3}{2}}) + (1 + \frac{3 p}{2}) e^{p}

Schritte zur Lösung

\frac{d}{d p} (e^{p} (p + p p))

Vereinfache

e^{p} (p + p p) : e^{p} (p + p^{\frac{3}{2}})

= \frac{d}{d p} (e^{p} (p + p^{\frac{3}{2}}))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{p}, g = p + p^{\frac{3}{2}}

= \frac{d}{d p} (e^{p}) (p + p^{\frac{3}{2}}) + \frac{d}{d p} (p + p^{\frac{3}{2}}) e^{p}

\frac{d}{d p} (e^{p}) = e^{p}

\frac{d}{d p} (p + p^{\frac{3}{2}}) = 1 + \frac{3 p}{2}

= e^{p} (p + p^{\frac{3}{2}}) + (1 + \frac{3 p}{2}) e^{p}

Graph

Beliebte Beispiele

y^{^{'}} - a \cdot y + b = 0

y^'=((e^{(x/3)}+y))/2

y^{^{'}} = \frac{( e ^{(\frac{x}{3})} + y )}{2}

limit as x approaches 0 of x/(1+x)

x \to 0 lim (\frac{x}{1 + x})

fläche x^2-6,3

a re a x^{2} - 6, 3

derivative f(x)=-2x^4+x^{-2}-3x^{3/4}

d er i v a t i v e f (x) = - 2 x^{4} + x^{- 2} - 3 x^{\frac{3}{4}}