derivative-e^x+3sqrt(x)-3sin(x)

Lösung

ableitung von

- e^{x} + 3 x - 3 sin (x)

- e^{x} + \frac{3}{2 x} - 3 cos (x)

Schritte zur Lösung

\frac{d}{d x} (- e^{x} + 3 x - 3 sin (x))

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (e^{x}) + \frac{d}{d x} (3 x) - \frac{d}{d x} (3 sin (x))

\frac{d}{d x} (e^{x}) = e^{x}

\frac{d}{d x} (3 x) = \frac{3}{2 x}

\frac{d}{d x} (3 sin (x)) = 3 cos (x)

= - e^{x} + \frac{3}{2 x} - 3 cos (x)

\frac{d}{d x} ((sin (x^{2}) + 1)^{\frac{1}{y}})

\frac{\partial}{\partial x} (sin (π (6 x - 3 y)))

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

\frac{d ^{2}}{d x ^{2}} f (x) = 5 x^{3} + 12 x^{2} + 8 x + 22

\frac{\partial}{\partial x} (4 (y - 1) (x - 4)^{3})