d/(dh)(1.18sqrt(h))

Lösung

\frac{d}{d h} (1.18 h)

\frac{0.59}{h}

Schritte zur Lösung

\frac{d}{d h} (1.18 h)

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 1.18 \frac{d}{d h} (h)

Wende Radikal Regel an:

a = a^{\frac{1}{2}}

= 1.18 \frac{d}{d h} (h^{\frac{1}{2}})

Wende die Potenzregel an:

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

= 1.18 \cdot \frac{1}{2} h^{\frac{1}{2} - 1}

Vereinfache

1.18 \cdot \frac{1}{2} h^{\frac{1}{2} - 1} : \frac{0.59}{h}

= \frac{0.59}{h}

\frac{\partial}{\partial x} (\frac{( 7 x - 8 y )}{1 x + 2 y})

\frac{d}{d x} (\frac{cos ( x ^{2} )}{x ^{2} + 1})

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

\frac{\partial}{\partial x} (x^{0.5} y^{0.5} z)

(x + 2)^{2} y^{^{'}} + 8 y = 5 - 4 x y