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Beliebt Rechnen >

d/(dt)(t^2-sec(t)+t)

Lösung

\frac{d}{d t} (t^{2} - sec (t) + t)

Lösung

2 t - sec (t) tan (t) + 1

Schritte zur Lösung

\frac{d}{d t} (t^{2} - sec (t) + t)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (t^{2}) - \frac{d}{d t} (sec (t)) + \frac{d t}{d t}

\frac{d}{d t} (t^{2}) = 2 t

\frac{d}{d t} (sec (t)) = sec (t) tan (t)

\frac{d t}{d t} = 1

= 2 t - sec (t) tan (t) + 1

Graph

Beliebte Beispiele

derivative 5x^2+3x+2

d er i v a t i v e 5 x^{2} + 3 x + 2

derivative ((1-cos(x)))/((1+cos(x)))

d er i v a t i v e \frac{( 1 - cos ( x ) )}{( 1 + cos ( x ) )}

\frac{d}{d t} (10 - 2 t)

derivative y=x^{-3}

d er i v a t i v e y = x^{- 3}

\frac{d}{d p} (20 - p)