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Beliebt Rechnen >

derivative of 2e^x-3x^2sqrt(x)

Lösung

\frac{d}{d x} (2 e^{x} - 3 x^{2} x)

Lösung

2 e^{x} - \frac{15 x ^{\frac{3}{2}}}{2}

Schritte zur Lösung

\frac{d}{d x} (2 e^{x} - 3 x^{2} x)

Vereinfache

2 e^{x} - 3 x^{2} x : 2 e^{x} - 3 x^{\frac{5}{2}}

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 e^{x} - \frac{15 x ^{\frac{3}{2}}}{2}

Graph

Beliebte Beispiele

integral from 0 to 5 of x/(sqrt(x+4))

\int_{0}^{5} \frac{x}{x + 4} d x

integral of 1/(1+t^3)

\int \frac{1}{1 + t ^{3}} d t

integral of 1/(7^x)

\int \frac{1}{7 ^{x}} d x

tangent f(x)=-x^2+7x

t an g e n t f (x) = - x^{2} + 7 x

integral from-1 to 1 of x^3-6x

\int_{- 1}^{1} x^{3} - 6 x d x