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Beliebt Rechnen >

derivative of tan(x-x+1)

Lösung

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

Lösung

tan^{2} (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= sec^{2} (x) - 1 + 0

Vereinfache

sec^{2} (x) - 1 + 0 : tan^{2} (x)

= tan^{2} (x)

Graph

Beliebte Beispiele

derivative of sqrt(1+x^{256)}-1

\frac{d}{d x} (1 + x^{256} - 1)

derivative f(x)=19xe^x

d er i v a t i v e f (x) = 19 x e^{x}

integral of sin(x)e^{3x}

\int sin (x) e^{3 x} d x

integral of x^2cos(1/9 x)

\int x^{2} cos (\frac{1}{9} x) d x

derivative of sec(xtan^2(x))

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