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

Lösung

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

4 y x + cos (x^{3}) \cdot 3 x^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (2 x^{2} y) = 4 y x

\frac{\partial}{\partial x} (sin (x^{3})) = cos (x^{3}) \cdot 3 x^{2}

= 4 y x + cos (x^{3}) \cdot 3 x^{2}

t an g e n t y = 4 e^{x} + x, (0, 4)

\int_{- π}^{π} x \cdot sin (n \cdot x) d x

\int - sin (x) sec (x) tan (x) d x

\int 4 x^{3} - \frac{3}{x ^{4}} d x

d er i v a t i v e 3 - 9 x