derivative f(x)=x^2+3x^6

Lösung

ableitung von

f (x) = x^{2} + 3 x^{6}

2 x + 18 x^{5}

Schritte zur Lösung

\frac{d}{d x} (x^{2} + 3 x^{6})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (3 x^{6})

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

\frac{d}{d x} (3 x^{6}) = 18 x^{5}

= 2 x + 18 x^{5}

\frac{\partial}{\partial x} (e^{2 y})

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

x \to 1 lim (- x^{2} + 5 x - 7)

\frac{\partial}{\partial y} (x + y cos (x))

x \to 0 lim (cos (0))