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Beliebt Rechnen >

derivative x-tan(x)

Lösung

ableitung von

x - tan (x)

Lösung

- tan^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (x - tan (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d x}{d x} - \frac{d}{d x} (tan (x))

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

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= 1 - sec^{2} (x)

Verwende die Pythagoreische Identität:

sec^{2} (x) = tan^{2} (x) + 1

sec^{2} (x) - 1 = tan^{2} (x)

= - tan^{2} (x)

Graph

Beliebte Beispiele

x(x+y)(dy)/(dx)=y(x-y)

x (x + y) \frac{d y}{d x} = y (x - y)

derivative sqrt(4x+9)

d er i v a t i v e 4 x + 9

sum from n=1 to infinity of 8-7(0.8)^n

n = 1 \sum \infty 8 - 7 (0.8)^{n}

limit as x approaches 17 of 3x+2

x \to 17 lim (3 x + 2)

y = (3 x^{2} + 5)^{4}