derivative of e^{x^5}+log_{2}(pi)

Lösung

\frac{d}{d x} (e^{x^{5}} + lo g_{2} (π))

5 e^{x^{5}} x^{4}

Schritte zur Lösung

\frac{d}{d x} (e^{x^{5}} + lo g_{2} (π))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (e^{x^{5}}) + \frac{d}{d x} (lo g_{2} (π))

\frac{d}{d x} (e^{x^{5}}) = e^{x^{5}} \cdot 5 x^{4}

\frac{d}{d x} (lo g_{2} (π)) = 0

= e^{x^{5}} \cdot 5 x^{4} + 0

Vereinfache

= 5 e^{x^{5}} x^{4}

\int \frac{cos ( u )}{u} d u

\frac{\partial}{\partial x} (x e^{19 x y})

\int_{0}^{2} (2 x^{2} - 3 x + 2) d x

x \to c lim (x^{2} + x + 1)

y^{^{''}} + y^{^{'}} + (π^{2} + \frac{1}{4}) y = 0