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Beliebt Rechnen >

(d^2)/(dx^2)(sqrt(x)+\sqrt[4]{x})

Lösung

\frac{d ^{2}}{d x ^{2}} (x + 4 x)

Lösung

- \frac{1}{4 x ^{\frac{3}{2}}} - \frac{3}{16 x ^{\frac{7}{4}}}

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (x + 4 x)

\frac{d}{d x} (x + 4 x) = \frac{1}{2 x} + \frac{1}{4 x ^{\frac{3}{4}}}

= \frac{d}{d x} (\frac{1}{2 x} + \frac{1}{4 x ^{\frac{3}{4}}})

\frac{d}{d x} (\frac{1}{2 x} + \frac{1}{4 x ^{\frac{3}{4}}}) = - \frac{1}{4 x ^{\frac{3}{2}}} - \frac{3}{16 x ^{\frac{7}{4}}}

= - \frac{1}{4 x ^{\frac{3}{2}}} - \frac{3}{16 x ^{\frac{7}{4}}}

Beliebte Beispiele

integral of 2x(x^2+9)^6

\int 2 x (x^{2} + 9)^{6} d x

integral of (3x^2+7x+1)e^x

\int (3 x^{2} + 7 x + 1) e^{x} d x

y^{''}+9y=t^2*e^{3t}+6

y^{^{''}} + 9 y = t^{2} \cdot e^{3 t} + 6

integral of (6/(sqrt(x)))

\int (\frac{6}{x}) d x

(\partial)/(\partial y)(4x^{y/z})

\frac{\partial}{\partial y} (4 x^{\frac{y}{z}})