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Beliebt Rechnen >

derivative of x+xsqrt(x)

Lösung

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

Lösung

1 + \frac{3 x}{2}

Schritte zur Lösung

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

Vereinfache

x + x x : x + x^{\frac{3}{2}}

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (x^{\frac{3}{2}}) = \frac{3 x}{2}

= 1 + \frac{3 x}{2}

Graph

Beliebte Beispiele

derivative of x^3+3^x

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

integral of sin(x)2x

\int sin (x) 2 x d x

sum from n=0 to infinity of (1^n)/(3^n)

n = 0 \sum \infty \frac{1 ^{n}}{3 ^{n}}

limit as x approaches 0-of 4/(tan(x))

x \to 0 - lim (\frac{4}{tan ( x )})

integral of e^{-st}*t

\int e^{- s t} \cdot t d t