derivative x^4+x^3+2

Lösung

ableitung von

x^{4} + x^{3} + 2

4 x^{3} + 3 x^{2}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (x^{3}) + \frac{d}{d x} (2)

\frac{d}{d x} (x^{4}) = 4 x^{3}

\frac{d}{d x} (x^{3}) = 3 x^{2}

\frac{d}{d x} (2) = 0

= 4 x^{3} + 3 x^{2} + 0

Vereinfache

= 4 x^{3} + 3 x^{2}

\frac{\partial}{\partial x} (sin (y) cos (x))

t an g e n t - 8 x^{2} + 5

\int \frac{4 t}{1 - 16 t ^{4}} d t

\int sin (t) sec^{5} (t) d t

x \to 0 lim ((x) x)