(\partial)/(\partial x)(sqrt(xx+yy))

Lösung

\frac{\partial}{\partial x} (xx + yy)

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

Schritte zur Lösung

\frac{\partial}{\partial x} (xx + yy)

Behandle

y

als Konstante

Wende die Kettenregel an:

\frac{1}{2 xx + yy} \frac{\partial}{\partial x} (xx + yy)

= \frac{1}{2 xx + yy} \frac{\partial}{\partial x} (xx + yy)

\frac{\partial}{\partial x} (xx + yy) = 2 x

= \frac{1}{2 xx + yy} \cdot 2 x

Vereinfache

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

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

\int_{0}^{π} x \cdot cos (x) d x

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

t an g e n t f (x) = e^{x} + 1, at x = 0

t an g e n t f (x) = \frac{4}{x ^{5}} - \frac{1}{x ^{2}}, at x = 1

d er i v a t i v e y = x^{3} - 13 x^{2} + 48 x + 8