(\partial)/(\partial x)(x+y^2+xy+3)

Lösung

\frac{\partial}{\partial x} (x + y^{2} + x y + 3)

y + 1

Schritte zur Lösung

\frac{\partial}{\partial x} (x + y^{2} + x y + 3)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x) + \frac{\partial}{\partial x} (y^{2}) + \frac{\partial}{\partial x} (x y) + \frac{\partial}{\partial x} (3)

\frac{\partial}{\partial x} (x) = 1

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

\frac{\partial}{\partial x} (x y) = y

\frac{\partial}{\partial x} (3) = 0

= 1 + 0 + y + 0

Vereinfache

= y + 1

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

tan (θ) d r + 2 r d θ = 0

d er i v a t i v e sin (x) ln (6 x)

\frac{\partial}{\partial t} (\frac{2}{( x - 3 t ) ^{2} + 1})

\frac{\partial}{\partial x} (x^{6} y^{8} + 7 x^{7} y)