derivative f(x)=x^2-5x+3

Lösung

ableitung von

f (x) = x^{2} - 5 x + 3

2 x - 5

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (3) = 0

= 2 x - 5 + 0

Vereinfache

= 2 x - 5

- 3 y^{^{'}} + \frac{3 y}{x} = \frac{y ^{4}}{x ^{2}}

\frac{\partial}{\partial y} (3 x^{2} y^{2} + 4)

\frac{\partial}{\partial x} (- 8 (x + y + z)^{2})

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

x \to 0 lim (x^{15 x})