derivative x^2+4x-1

Lösung

ableitung von

x^{2} + 4 x - 1

2 x + 4

Schritte zur Lösung

\frac{d}{d x} (x^{2} + 4 x - 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (4 x) - \frac{d}{d x} (1)

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

\frac{d}{d x} (4 x) = 4

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

= 2 x + 4 - 0

Vereinfache

= 2 x + 4

\int \frac{( a + b x ^{2} )}{3 a x + b x ^{3}} d x

\int_{- 1}^{0} y + 1 d y

\int \frac{1}{486} (81 - x^{2}) d x

n = 1 \sum \infty \frac{1}{n ^{2} + 4}

\frac{\partial}{\partial x} (\frac{( 3 x - 2 y )}{x ^{2} + 3 y})