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Beliebt Rechnen >

derivative sin(x)ln(sec(x)+tan(x))-1

Lösung

ableitung von

sin (x) ln (sec (x) + tan (x)) - 1

Lösung

cos (x) ln (sec (x) + tan (x)) + tan (x)

Schritte zur Lösung

\frac{d}{d x} (sin (x) ln (sec (x) + tan (x)) - 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin (x) ln (sec (x) + tan (x))) - \frac{d}{d x} (1)

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

\frac{d}{d x} (1) = 0

= cos (x) ln (sec (x) + tan (x)) + tan (x) - 0

Vereinfache

= cos (x) ln (sec (x) + tan (x)) + tan (x)

Graph

Beliebte Beispiele

limit as x approaches 6 of (x^2-5)/(x-6)

x \to 6 lim (\frac{x ^{2} - 5}{x - 6})

derivative f(x)=x^2sqrt(3x+5)

d er i v a t i v e f (x) = x^{2} 3 x + 5

derivative cos(a^4+x^4)

d er i v a t i v e cos (a^{4} + x^{4})

sum from n=0 to infinity of (-1)^n((ln(2))^n)/(n!)

n = 0 \sum \infty (- 1)^{n} \frac{( ln ( 2 ) ) ^{n}}{n !}

fläche 12-x^2,x^2-6,-3,3

a re a 12 - x^{2}, x^{2} - 6, - 3, 3