(\partial)/(\partial x)((x^2+y^2)^5)

Lösung

\frac{\partial}{\partial x} ((x^{2} + y^{2})^{5})

10 x (x^{2} + y^{2})^{4}

Schritte zur Lösung

\frac{\partial}{\partial x} ((x^{2} + y^{2})^{5})

Behandle

y

als Konstante

Wende die Kettenregel an:

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

= 5 (x^{2} + y^{2})^{4} \frac{\partial}{\partial x} (x^{2} + y^{2})

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

= 5 (x^{2} + y^{2})^{4} \cdot 2 x

Vereinfache

= 10 x (x^{2} + y^{2})^{4}

d er i v a t i v e y = x^{2} - x + 9

\frac{d y}{( 5 - 3 y ) ^{2}} = \frac{d x}{2 ( 4 - x )}

l a pl a ce t r an s f or m e^{- 0.75 t} cos (4 t)

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

\int \frac{1 - x ^{2}}{1 - x} d x