derivative x^3+9x^2+35x+14

Lösung

ableitung von

x^{3} + 9 x^{2} + 35 x + 14

3 x^{2} + 18 x + 35

Schritte zur Lösung

\frac{d}{d x} (x^{3} + 9 x^{2} + 35 x + 14)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (9 x^{2}) + \frac{d}{d x} (35 x) + \frac{d}{d x} (14)

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

\frac{d}{d x} (9 x^{2}) = 18 x

\frac{d}{d x} (35 x) = 35

\frac{d}{d x} (14) = 0

= 3 x^{2} + 18 x + 35 + 0

Vereinfache

= 3 x^{2} + 18 x + 35

d er i v a t i v e \frac{x ^{4}}{4} + \frac{1}{8 x ^{2}}

d er i v a t i v e f (x) = \frac{6 x ^{2} + 4 x + 8}{x}

\frac{d}{d x} (x^{3} - y sinh (x^{2}))

\int_{- 1}^{1} \frac{1}{x ^{5}} d x

\frac{\partial}{\partial x} (7 e^{x} \cdot sin (y))