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Beliebt Rechnen >

derivative of ln(5e^{-4x})

Lösung

\frac{d}{d x} (ln (5 e^{- 4 x}))

Lösung

- 4

Schritte zur Lösung

\frac{d}{d x} (ln (5 e^{- 4 x}))

Vereinfache

ln (5 e^{- 4 x}) : ln (5) - 4 x

= \frac{d}{d x} (ln (5) - 4 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (ln (5)) - \frac{d}{d x} (4 x)

\frac{d}{d x} (ln (5)) = 0

\frac{d}{d x} (4 x) = 4

= 0 - 4

Vereinfache

= - 4

Graph

Beliebte Beispiele

integral of x/(x^2+4x+3)

\int \frac{x}{x ^{2} + 4 x + 3} d x

integral of 1/(4-y)

\int \frac{1}{4 - y} d y

limit as x approaches 8+of (x-8)/(|x-8|)

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

tangent y=3x^2-2x,\at x=-1

t an g e n t y = 3 x^{2} - 2 x, at x = - 1

derivative of x^2(x-2^4)

\frac{d}{d x} (x^{2} (x - 2)^{4})