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Beliebt Rechnen >

d/(dt)(tan(e^{2t})+e^{tan(2t)})

Lösung

\frac{d}{d t} (tan (e^{2 t}) + e^{t a n (2 t)})

Lösung

sec^{2} (e^{2 t}) e^{2 t} \cdot 2 + e^{t a n (2 t)} sec^{2} (2 t) \cdot 2

Schritte zur Lösung

\frac{d}{d t} (tan (e^{2 t}) + e^{t a n (2 t)})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (tan (e^{2 t})) + \frac{d}{d t} (e^{t a n (2 t)})

\frac{d}{d t} (tan (e^{2 t})) = sec^{2} (e^{2 t}) e^{2 t} \cdot 2

\frac{d}{d t} (e^{t a n (2 t)}) = e^{t a n (2 t)} sec^{2} (2 t) \cdot 2

= sec^{2} (e^{2 t}) e^{2 t} \cdot 2 + e^{t a n (2 t)} sec^{2} (2 t) \cdot 2

Graph

Beliebte Beispiele

limit as x approaches 0-of 1/x-1/(|x|)

x \to 0 - lim (\frac{1}{x} - \frac{1}{∣ x ∣})

derivative of x^3-2x^2+x+1

\frac{d}{d x} (x^{3} - 2 x^{2} + x + 1)

(\partial)/(\partial x)((e^x)/(y+x^3))

\frac{\partial}{\partial x} (\frac{e ^{x}}{y + x ^{3}})

derivative of tan(pi/4)

\frac{d}{d x} (tan (\frac{π}{4}))

integral of (x^3)/((x^2+4)^2)

\int \frac{x ^{3}}{( x ^{2} + 4 ) ^{2}} d x