derivative of 2xsin(x+x^2cos(x))

Lösung

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

2 (sin (x) + x cos (x)) + 2 x cos (x) - x^{2} sin (x) : 2 sin (x) + 4 x cos (x) - x^{2} sin (x)

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

a re a y = x^{3} - 7 x, y = 9 x

l a pl a ce t r an s f or m \frac{t}{5}

\int_{2}^{\infty} e^{- 6 p} d p

\frac{\partial}{\partial x} (- \frac{v ( x , t )}{b ( x , t ) x - b ( x , t ) v ( x , t ) t})

\int π sin (x) d x