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Beliebt Rechnen >

derivative of x^7sqrt(x)

Lösung

\frac{d}{d x} (x^{7} x)

Lösung

\frac{15 x ^{\frac{13}{2}}}{2}

Schritte zur Lösung

\frac{d}{d x} (x^{7} x)

Vereinfache

x^{7} x : x^{\frac{15}{2}}

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{15}{2} x^{\frac{15}{2} - 1}

Vereinfache

\frac{15}{2} x^{\frac{15}{2} - 1} : \frac{15 x ^{\frac{13}{2}}}{2}

= \frac{15 x ^{\frac{13}{2}}}{2}

Graph

Beliebte Beispiele

derivative f(x)=((x^2+8))/(7x-1)

d er i v a t i v e f (x) = \frac{( x ^{2} + 8 )}{7 x - 1}

integral of x/(sqrt(6x^2+1))

\int \frac{x}{6 x ^{2} + 1} d x

steigung (2x+2y)^3=8x^3+8y^3

s l o p e (2 x + 2 y)^{3} = 8 x^{3} + 8 y^{3}

integral of ((tan(x))/(sin(x)cos(x)))

\int (\frac{tan ( x )}{sin ( x ) cos ( x )}) d x

fläche f(x)=2x^2+3,x,[-1,2]

a re a f (x) = 2 x^{2} + 3, x, [- 1, 2]