(\partial)/(\partial x)(cos(z)+xy^2)

Lösung

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

y^{2}

Schritte zur Lösung

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

Behandle

z, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 + y^{2}

Vereinfache

= y^{2}

t an g e n t f (x) = \frac{1}{4 x ^{\frac{3}{2}}}, at x = 4

\frac{d y}{d x} = 6 x^{2} y

n = 1 \sum \infty n e^{- 8 n}

\int \frac{1}{x ^{2}} ln (x) d x

\frac{d}{d y} (\frac{ln ( y )}{2 y} + \frac{1}{y})