derivative of 4x^{5/4}+2x^{3/2}+5x

Lösung

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

5 x^{\frac{1}{4}} + 3 x^{\frac{1}{2}} + 5

Schritte zur Lösung

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

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

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

\frac{d}{d x} (5 x) = 5

= 5 x^{\frac{1}{4}} + 3 x^{\frac{1}{2}} + 5

d er i v a t i v e 15000 e^{- 0.6 x}

x \to 2 - lim (5 x^{3} - \frac{2}{x - 2})

d er i v a t i v e 9

\int_{- 6}^{6} \frac{1}{v} d v

d er i v a t i v e y = ln (2^{3})