derivative of-3*e^{x^2+x-1}

Lösung

\frac{d}{d x} (- 3 \cdot e^{x^{2} + x - 1})

- 3 e^{x^{2} + x - 1} (2 x + 1)

Schritte zur Lösung

\frac{d}{d x} (- 3 e^{x^{2} + x - 1})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= - 3 \frac{d}{d x} (e^{x^{2} + x - 1})

Wende die Kettenregel an:

e^{x^{2} + x - 1} \frac{d}{d x} (x^{2} + x - 1)

= e^{x^{2} + x - 1} \frac{d}{d x} (x^{2} + x - 1)

\frac{d}{d x} (x^{2} + x - 1) = 2 x + 1

= - 3 e^{x^{2} + x - 1} (2 x + 1)

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

d er i v a t i v e f (w) = (6 x - 8)^{2}

d er i v a t i v e f (x) = 7 arctan (x - 1 + x^{2})

d er i v a t i v e f (x) = x^{x^{x}}

t an g e n t y = 5 x^{\frac{1}{2}} + x^{\frac{3}{2}}, at x = 25