de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative y=sin^2(e^{sin^2(t)})

Lösung

ableitung von

y = sin^{2} (e^{s i n^{2} (t)})

Lösung

e^{s i n^{2} (t)} sin (2 e^{s i n^{2} (t)}) sin (2 t)

Schritte zur Lösung

\frac{d}{d t} (sin^{2} (e^{s i n^{2} (t)}))

Wende die Kettenregel an:

2 sin (e^{s i n^{2} (t)}) \frac{d}{d t} (sin (e^{s i n^{2} (t)}))

= 2 sin (e^{s i n^{2} (t)}) \frac{d}{d t} (sin (e^{s i n^{2} (t)}))

\frac{d}{d t} (sin (e^{s i n^{2} (t)})) = cos (e^{s i n^{2} (t)}) e^{s i n^{2} (t)} sin (2 t)

= 2 sin (e^{s i n^{2} (t)}) cos (e^{s i n^{2} (t)}) e^{s i n^{2} (t)} sin (2 t)

Verwende die Doppelwinkelidentität:

2 sin (x) cos (x) = sin (2 x)

= e^{s i n^{2} (t)} sin (2 e^{s i n^{2} (t)}) sin (2 t)

Graph

Beliebte Beispiele

integral of cos(2x)e^{-x}

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

integral of (3x)/(sqrt(x+4))

\int \frac{3 x}{x + 4} d x

integral from 0 to t of-5e^ssin(t-s)

\int_{0}^{t} - 5 e^{s} sin (t - s) d s

integral of (x+2)(x-7)

\int (x + 2) (x - 7) d x

f(x)=e^{x^2-4}+3x+5

f (x) = e^{x^{2} - 4} + 3 x + 5