(\partial)/(\partial x)(e^tx+1)

Lösung

\frac{\partial}{\partial x} (e^{t} x + 1)

e^{t}

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{t} x + 1)

Behandle

t

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (e^{t} x) + \frac{\partial}{\partial x} (1)

\frac{\partial}{\partial x} (e^{t} x) = e^{t}

\frac{\partial}{\partial x} (1) = 0

= e^{t} + 0

Vereinfache

= e^{t}

d er i v a t i v e y = 4 e^{x} + \frac{4}{3 x}

\int x^{2} e^{x - 3} d x

x \to 0 lim (sin (x) - cos (x))

\int \frac{x ^{4} - x ^{3} - x - 1}{x ^{3} - x ^{2}} d x

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