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Beliebt Rechnen >

derivative of x-ln(sec(x+tan(x)))

Lösung

\frac{d}{d x} (x - ln (sec (x) + tan (x)))

Lösung

1 - sec (x)

Schritte zur Lösung

\frac{d}{d x} (x - ln (sec (x) + tan (x)))

Wende die Summen-/Differenzregel an:

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

= \frac{d x}{d x} - \frac{d}{d x} (ln (sec (x) + tan (x)))

\frac{d x}{d x} = 1

\frac{d}{d x} (ln (sec (x) + tan (x))) = sec (x)

= 1 - sec (x)

Graph

Beliebte Beispiele

derivative (-2x^3+x^2-2x-1)x^3

d er i v a t i v e (- 2 x^{3} + x^{2} - 2 x - 1) x^{3}

derivative of 2e^{5x}

\frac{d}{d x} (2 e^{5 x})

integral of 2xy+2x

\int 2 x y + 2 x d x

f (t) = sin^{2} (t)

limit as x approaches 3 of (x^2+x)/(x+3)

x \to 3 lim (\frac{x ^{2} + x}{x + 3})