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Beliebt Rechnen >

derivative of ln(3x-e^{sec(x)})

Lösung

\frac{d}{d x} (ln (3 x) - e^{s e c (x)})

Lösung

\frac{1}{x} - e^{s e c (x)} sec (x) tan (x)

Schritte zur Lösung

\frac{d}{d x} (ln (3 x) - e^{s e c (x)})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (ln (3 x)) - \frac{d}{d x} (e^{s e c (x)})

\frac{d}{d x} (ln (3 x)) = \frac{1}{x}

\frac{d}{d x} (e^{s e c (x)}) = e^{s e c (x)} sec (x) tan (x)

= \frac{1}{x} - e^{s e c (x)} sec (x) tan (x)

Graph

Beliebte Beispiele

f(x)=(sqrt(x+1))/(x^2-5)

f (x) = \frac{x + 1}{x ^{2} - 5}

f (t) = e^{t} cos (t)

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ma c l a u r in sin (3 x + 2)

limit as x approaches 0 of sin(1/x)x

x \to 0 lim (sin (\frac{1}{x}) x)

derivative of-0.4x^2+1000

\frac{d}{d x} (- 0.4 x^{2} + 1000)