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Beliebt Rechnen >

derivative sin^2(x^2-1)

Lösung

ableitung von

sin^{2} (x^{2} - 1)

Lösung

4 x sin (x^{2} - 1) cos (x^{2} - 1)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= 2 sin (x^{2} - 1) \frac{d}{d x} (sin (x^{2} - 1))

\frac{d}{d x} (sin (x^{2} - 1)) = cos (x^{2} - 1) \cdot 2 x

= 2 sin (x^{2} - 1) cos (x^{2} - 1) \cdot 2 x

Vereinfache

= 4 x sin (x^{2} - 1) cos (x^{2} - 1)

Graph

Beliebte Beispiele

derivative of e^{2*(x-1})

\frac{d}{d x} (e^{2 \cdot (x - 1)})

integral of (-10x^2)/((x^3+2)^{-3)}

\int \frac{- 10 x ^{2}}{( x ^{3} + 2 ) ^{- 3}} d x

derivative of (250/((1+5x)^3))

\frac{d}{d x} (\frac{250}{( 1 + 5 x ) ^{3}})

integral of e^{3t}*t

\int e^{3 t} \cdot t d t

derivative of a-bx^2

\frac{d}{d x} (a - b x^{2})