(\partial)/(\partial x)(sqrt(1+x^2+y^2))

Lösung

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

\frac{x}{1 + x ^{2} + y ^{2}}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= \frac{1}{2 1 + x ^{2} + y ^{2}} \cdot 2 x

Vereinfache

\frac{1}{2 1 + x ^{2} + y ^{2}} \cdot 2 x : \frac{x}{1 + x ^{2} + y ^{2}}

= \frac{x}{1 + x ^{2} + y ^{2}}

\int_{1 - 2 x}^{1 + 2 x} t sin (t) d t

\frac{d}{d x} (7 sin (3 x))

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

x \to - 2.4 lim (x)

ma c l a u r in x cos (x^{3})