(\partial)/(\partial x)(15-5(x+3)^2)

Lösung

\frac{\partial}{\partial x} (15 - 5 (x + 3)^{2})

- 10 x - 30

Schritte zur Lösung

\frac{\partial}{\partial x} (15 - 5 (x + 3)^{2})

Vereinfache

15 - 5 (x + 3)^{2} : - 5 x^{2} - 30 x - 30

= \frac{\partial}{\partial x} (- 5 x^{2} - 30 x - 30)

Wende die Summen-/Differenzregel an:

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

= - \frac{\partial}{\partial x} (5 x^{2}) - \frac{\partial}{\partial x} (30 x) - \frac{\partial}{\partial x} (30)

\frac{\partial}{\partial x} (5 x^{2}) = 10 x

\frac{\partial}{\partial x} (30 x) = 30

\frac{\partial}{\partial x} (30) = 0

= - 10 x - 30 - 0

Vereinfache

= - 10 x - 30

\int (y - y) d y

\int \frac{1}{cosh ( x )} d x

y^{^{''}} + 8 y^{^{'}} + 25 y = 0, y (0) = 4, y^{^{'}} (0) = - 14

\int \frac{a}{x} d x

(a (t) sin^{3} (t))^{^{'}}