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Beliebt Rechnen >

derivative of 1/(4x^3-6/(5x^4))

Lösung

\frac{d}{d x} (\frac{1}{4 x ^{3}} - \frac{6}{5 x ^{4}})

Lösung

- \frac{3}{4 x ^{4}} + \frac{24}{5 x ^{5}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{4 x ^{3}} - \frac{6}{5 x ^{4}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{1}{4 x ^{3}}) - \frac{d}{d x} (\frac{6}{5 x ^{4}})

\frac{d}{d x} (\frac{1}{4 x ^{3}}) = - \frac{3}{4 x ^{4}}

\frac{d}{d x} (\frac{6}{5 x ^{4}}) = - \frac{24}{5 x ^{5}}

= - \frac{3}{4 x ^{4}} - (- \frac{24}{5 x ^{5}})

Vereinfache

= - \frac{3}{4 x ^{4}} + \frac{24}{5 x ^{5}}

Graph

Beliebte Beispiele

(dy)/(dx)=((2y+5)/(8x+7))^2

2x+y+(x+2y)*y^'=0

tangent f(x)=4x^2+5x-5

sum from n=1 to infinity}((-1)^{n+1 of)/(n^5)