derivative f(x)=4x^2sin(x)+2x

Lösung

ableitung von

f (x) = 4 x^{2} sin (x) + 2 x

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

Schritte zur Lösung

\frac{d}{d x} (4 x^{2} sin (x) + 2 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{2} sin (x)) + \frac{d}{d x} (2 x)

\frac{d}{d x} (4 x^{2} sin (x)) = 4 (2 x sin (x) + cos (x) x^{2})

\frac{d}{d x} (2 x) = 2

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

d er i v a t i v e cos (\frac{1 - e ^{6 x}}{1 + e ^{6 x}})

s l o p e (- 9, 3), (7, - 7)

\frac{d}{d x} (cos (e^{c o t (x^{2})}))

\frac{\partial}{\partial x} (x^{2} + 1)

\int - x^{2} sin (y) d y