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Beliebt Rechnen >

derivative of e^{7-x}

Lösung

\frac{d}{d x} (e^{7 - x})

Lösung

- e^{7 - x}

Schritte zur Lösung

\frac{d}{d x} (e^{7 - x})

Wende die Kettenregel an:

e^{7 - x} \frac{d}{d x} (7 - x)

= e^{7 - x} \frac{d}{d x} (7 - x)

\frac{d}{d x} (7 - x) = - 1

= e^{7 - x} (- 1)

Vereinfache

= - e^{7 - x}

Graph

Beliebte Beispiele

(d^2)/(dx^2)(9t^2-6t+3)

\frac{d ^{2}}{d x ^{2}} (9 t^{2} - 6 t + 3)

derivative of ln(tanh(x))

\frac{d}{d x} (ln (tanh (x)))

integral of 4cos^3(5x)

\int 4 cos^{3} (5 x) d x

(\partial)/(\partial y)(2sin(y^2))

\frac{\partial}{\partial y} (2 sin (y^{2}))

limit as x approaches 5 of (sin(x))/x

x \to 5 lim (\frac{sin ( x )}{x})