(\partial)/(\partial x)(sin(x^1y^3))

Lösung

\frac{\partial}{\partial x} (sin (x^{1} y^{3}))

cos (x y^{3}) y^{3}

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (x^{1} y^{3}))

Vereinfache

sin (x^{1} y^{3}) : sin (x y^{3})

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

Behandle

y

als Konstante

Wende die Kettenregel an:

cos (x y^{3}) \frac{\partial}{\partial x} (x y^{3})

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

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

= cos (x y^{3}) y^{3}

e x p an d (- 2 cos (2 x) - sin (3 x))^{2}

x \to \frac{1}{2} lim (arcsin (x))

s l o p e f (x) = x^{2} + x - 3

3 t^{4} y^{^{''}} + 7 t^{3} y^{^{'}} = 0

n = 0 \sum \infty \frac{1}{( n + 10 )}