(\partial)/(\partial v)(e^{{u}(v)}+sin(v))

Lösung

\frac{\partial}{\partial v} (e^{u (v)} + sin (v))

e^{u (v)} \frac{\partial}{\partial v} (u (v)) + cos (v)

Schritte zur Lösung

\frac{\partial}{\partial v} (e^{u (v)} + sin (v))

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial v} (e^{u (v)}) + \frac{\partial}{\partial v} (sin (v))

\frac{\partial}{\partial v} (e^{u (v)}) = e^{u (v)} \frac{\partial}{\partial v} (u (v))

\frac{\partial}{\partial v} (sin (v)) = cos (v)

= e^{u (v)} \frac{\partial}{\partial v} (u (v)) + cos (v)

\int_{1}^{2} (- y^{3} + 2 y^{2} + 5 y - 6) d y

\int_{- 3}^{3} ∣ 2 x - 1 ∣ d x

\int 3 x^{2} x^{3} + 1 d x

\int_{0}^{1} 4 x^{3} e^{x^{4}} d x

x 1 - y^{2} d x + y 1 + x^{2} d y = 0