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Beliebt Rechnen >

derivative 3x^{5/2}+8x^2

Lösung

ableitung von

3 x^{\frac{5}{2}} + 8 x^{2}

Lösung

\frac{15 x ^{\frac{3}{2}}}{2} + 16 x

Schritte zur Lösung

\frac{d}{d x} (3 x^{\frac{5}{2}} + 8 x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{\frac{5}{2}}) + \frac{d}{d x} (8 x^{2})

\frac{d}{d x} (3 x^{\frac{5}{2}}) = \frac{15 x ^{\frac{3}{2}}}{2}

\frac{d}{d x} (8 x^{2}) = 16 x

= \frac{15 x ^{\frac{3}{2}}}{2} + 16 x

Graph

Beliebte Beispiele

integral of 1/(sqrt(2pi))e^{(x^2)/2}

\int \frac{1}{2 π} e^{\frac{x ^{2}}{2}} d x

limit as x approaches 3-of ln(x^2-9)

x \to 3 - lim (ln (x^{2} - 9))

derivative of sin(x+x*cos(x))

\frac{d}{d x} (sin (x) + x \cdot cos (x))

derivative of x^2y-x

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

integral of (cos(5x)cos(3x))

\int (cos (5 x) cos (3 x)) d x