derivative f(x)=sqrt((x^2)sin(x-2))

Lösung

ableitung von

f (x) = (x^{2}) sin (x - 2)

\frac{2 x sin ( x - 2 ) + x ^{2} cos ( x - 2 )}{2 sin ( x - 2 ) x ^{2}}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{2 x ^{2} sin ( x - 2 )} (2 x sin (x - 2) + cos (x - 2) x^{2}) : \frac{2 x sin ( x - 2 ) + x ^{2} cos ( x - 2 )}{2 sin ( x - 2 ) x ^{2}}

= \frac{2 x sin ( x - 2 ) + x ^{2} cos ( x - 2 )}{2 sin ( x - 2 ) x ^{2}}

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

\int_{- 1}^{1} (y^{2} - 2) - e^{y} d y

t a y l or \frac{e ^{x^{2}} - 1}{x}

n \to \infty lim (- n^{2})

\frac{d}{d x} (2 x^{3} (1 - x^{2})^{4})