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Beliebt Rechnen >

d/(dt)(sin(3ln(t)-e^{t^2}))

Lösung

\frac{d}{d t} (sin (3 ln (t) - e^{t^{2}}))

Lösung

cos (3 ln (t) - e^{t^{2}}) (\frac{3}{t} - e^{t^{2}} \cdot 2 t)

Schritte zur Lösung

\frac{d}{d t} (sin (3 ln (t) - e^{t^{2}}))

Wende die Kettenregel an:

cos (3 ln (t) - e^{t^{2}}) \frac{d}{d t} (3 ln (t) - e^{t^{2}})

= cos (3 ln (t) - e^{t^{2}}) \frac{d}{d t} (3 ln (t) - e^{t^{2}})

\frac{d}{d t} (3 ln (t) - e^{t^{2}}) = \frac{3}{t} - e^{t^{2}} \cdot 2 t

= cos (3 ln (t) - e^{t^{2}}) (\frac{3}{t} - e^{t^{2}} \cdot 2 t)

Graph

Beliebte Beispiele

tangent y=x^2-3,(-2,1)

t an g e n t y = x^{2} - 3, (- 2, 1)

integral of (x^5+1)/(x^3-3x^2-10x)

\int \frac{x ^{5} + 1}{x ^{3} - 3 x ^{2} - 10 x} d x

derivative of e^xx+7e^x

\frac{d}{d x} (e^{x} x + 7 e^{x})

integral of (e^x-3)^2

\int (e^{x} - 3)^{2} d x

fläche 10x^4-10x^2,9x^2

a re a 10 x^{4} - 10 x^{2}, 9 x^{2}