derivative 4x^{5/4}+8x^{3/2}+10x

Lösung

ableitung von

4 x^{\frac{5}{4}} + 8 x^{\frac{3}{2}} + 10 x

5 x^{\frac{1}{4}} + 12 x^{\frac{1}{2}} + 10

Schritte zur Lösung

\frac{d}{d x} (4 x^{\frac{5}{4}} + 8 x^{\frac{3}{2}} + 10 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{\frac{5}{4}}) + \frac{d}{d x} (8 x^{\frac{3}{2}}) + \frac{d}{d x} (10 x)

\frac{d}{d x} (4 x^{\frac{5}{4}}) = 5 x^{\frac{1}{4}}

\frac{d}{d x} (8 x^{\frac{3}{2}}) = 12 x^{\frac{1}{2}}

\frac{d}{d x} (10 x) = 10

= 5 x^{\frac{1}{4}} + 12 x^{\frac{1}{2}} + 10

\frac{\partial}{\partial x} (e^{t - x})

t y^{^{'}} - 2 y = t^{4}

\int_{0}^{1} sin (x) e^{x} d x

in v erse l a pl a ce \frac{1}{s} - \frac{s + 8}{s ^{2} + 8 s + 25}

\int ∣ x - 3 ∣ d x