derivative 5x^2-3x+1

Lösung

ableitung von

5 x^{2} - 3 x + 1

10 x - 3

Schritte zur Lösung

\frac{d}{d x} (5 x^{2} - 3 x + 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (3 x) + \frac{d}{d x} (1)

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (3 x) = 3

\frac{d}{d x} (1) = 0

= 10 x - 3 + 0

Vereinfache

= 10 x - 3

\frac{d}{d x} (3 \cdot 5^{x})

x \to 3 lim (2 x^{3} - 10 x - 8)

x \to 0 lim (\frac{x ^{2} - 9}{x - 3})

x \to 0 lim (\frac{( 3 + x ) ^{2} - 9}{x})

4 x^{2} y^{^{''}} + 17 y = 0