(\partial)/(\partial x)(x^2+16xw+64w^2)

Lösung

\frac{\partial}{\partial x} (x^{2} + 16 x w + 64 w^{2})

2 x + 16 w

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{2} + 16 x w + 64 w^{2})

Behandle

w

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{2}) + \frac{\partial}{\partial x} (16 x w) + \frac{\partial}{\partial x} (64 w^{2})

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

\frac{\partial}{\partial x} (16 x w) = 16 w

\frac{\partial}{\partial x} (64 w^{2}) = 0

= 2 x + 16 w + 0

Vereinfache

= 2 x + 16 w

x \to 3 - lim (\frac{2 x + 1}{x - 3})

x \to 0 - lim (\frac{4}{5 x ^{\frac{1}{3}}})

\int \frac{5}{2} d x

\int_{1}^{\infty} 12 e^{- 4 x} d x

d er i v a t i v e (\frac{t ^{3}}{t ^{8} + 7})^{2}