derivative of (x^6/(12)+1/(8x^4))

Lösung

\frac{d}{d x} (\frac{x ^{6}}{12} + \frac{1}{8 x ^{4}})

\frac{x ^{5}}{2} - \frac{1}{2 x ^{5}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{6}}{12} + \frac{1}{8 x ^{4}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{6}}{12}) + \frac{d}{d x} (\frac{1}{8 x ^{4}})

\frac{d}{d x} (\frac{x ^{6}}{12}) = \frac{x ^{5}}{2}

\frac{d}{d x} (\frac{1}{8 x ^{4}}) = - \frac{1}{2 x ^{5}}

= \frac{x ^{5}}{2} - \frac{1}{2 x ^{5}}

s l o p e (3, - 9), (52, 1)

\int_{6}^{9} \frac{y}{y ^{2} - 2 y - 3} d y

\frac{\partial}{\partial x} (3 x y ln (x y))

t an g e n t x^{4} - y^{2} = 7, (2, 3)

\int cos^{7} (9 - x) sin (9 - x) d x