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

Lösung

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

sin (2 x)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= sin (2 x) + 0

Vereinfache

= sin (2 x)

s l o p e 3 t - t^{2}

\frac{d}{d x} (cos (ln (sec (e^{- 2 x}))))

d er i v a t i v e f (x) = (5 x - 5) (x + 3)

\frac{d}{d x} (\frac{x}{1 + x ^{3}})

x \to 0 lim ((1 - 4 x)^{\frac{8}{x}})