derivative y=4x-x^2

Lösung

ableitung von

y = 4 x - x^{2}

4 - 2 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 4 - 2 x

\int 20 t (5 t^{2} - 3)^{3} d t

n = 5 \sum \infty \frac{1}{n ln ( n )}

\frac{d}{d x} (\frac{( 2 x ^{3} + 7 ) ( 3 x ^{2} - 5 )}{x ^{2} + 1})

x \to 7 lim (\frac{3}{( x - 7 ) ^{2}})

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