(\partial)/(\partial x)(ln(1+z)+xy^2+z)

Lösung

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

y^{2}

Schritte zur Lösung

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

Behandle

z, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (ln (1 + z)) = 0

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

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

= 0 + y^{2} + 0

Vereinfache

= y^{2}

in v erse l a pl a ce \frac{1}{2 s ^{3} + 10 s ^{2} + 12 s}

d er i v a t i v e y = x^{4} cos (4 x^{2})

a re a y = 17 x, y = x^{2}

\int sin^{2} (t) cos (t) d t

\int 0.0025 x - 0.075 d x