derivative of sin(e^x-1)

Lösung

\frac{d}{d x} (sin (e^{x} - 1))

cos (e^{x} - 1) e^{x}

Schritte zur Lösung

\frac{d}{d x} (sin (e^{x} - 1))

Wende die Kettenregel an:

cos (e^{x} - 1) \frac{d}{d x} (e^{x} - 1)

= cos (e^{x} - 1) \frac{d}{d x} (e^{x} - 1)

\frac{d}{d x} (e^{x} - 1) = e^{x}

= cos (e^{x} - 1) e^{x}

t an g e n t 4 x^{3} - 4 x^{2} + 3

n = 1 \sum \infty \frac{n ^{3}}{e ^{n}}

x \to 1 + lim (x^{\frac{8}{1 - x}})

x \to 0 - lim (∣ x ∣)

\frac{\partial}{\partial y} (e^{3 x} sin (3 y))