derivative of (m(x^2-1))

Lösung

\frac{d}{d x} ((m) (x^{2} - 1))

2 m x

Schritte zur Lösung

\frac{d}{d x} ((m) (x^{2} - 1))

Entferne die Konstante:

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

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= m (2 x - 0)

Vereinfache

= 2 m x

e x p an d 10 + (x^{2} + 6 x - 1)

e x p an d - \frac{2 s ^{2} + 4 s + 3}{( s + 1 ) s ^{2}}

e x p an d x y d x + (7 x^{2} + 9 x + 2 x^{3} y^{5} - 2) d y

e x p an d 26 x^{4} 5

s im pl i f y \frac{( \frac{1}{3} ) ( ( - \frac{1}{3} ) ^{10} - 1 )}{- \frac{1}{3} - 1}