derivative of 14x^6-5x^4+15x^2-8

Lösung

\frac{d}{d x} (14 x^{6} - 5 x^{4} + 15 x^{2} - 8)

84 x^{5} - 20 x^{3} + 30 x

Schritte zur Lösung

\frac{d}{d x} (14 x^{6} - 5 x^{4} + 15 x^{2} - 8)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (14 x^{6}) - \frac{d}{d x} (5 x^{4}) + \frac{d}{d x} (15 x^{2}) - \frac{d}{d x} (8)

\frac{d}{d x} (14 x^{6}) = 84 x^{5}

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

\frac{d}{d x} (15 x^{2}) = 30 x

\frac{d}{d x} (8) = 0

= 84 x^{5} - 20 x^{3} + 30 x - 0

Vereinfache

= 84 x^{5} - 20 x^{3} + 30 x

d er i v a t i v e f (x) = x e^{3 x^{2}} + 1

t an g e n t \frac{4}{x ^{5}} - \frac{1}{x ^{2}}

\int \frac{cos ( x )}{1 + 8 sin ( x )} d x

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

t a y l or \frac{4}{x}, 1