derivative t^5-1/(\sqrt[4]{t^7)}

Lösung

ableitung von

t^{5} - \frac{1}{4 t ^{7}}

5 t^{4} + \frac{7 t ^{6}}{4 ( t ^{7} ) ^{\frac{5}{4}}}

Schritte zur Lösung

\frac{d}{d t} (t^{5} - \frac{1}{4 t ^{7}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (t^{5}) - \frac{d}{d t} (\frac{1}{4 t ^{7}})

\frac{d}{d t} (t^{5}) = 5 t^{4}

\frac{d}{d t} (\frac{1}{4 t ^{7}}) = - \frac{7 t ^{6}}{4 ( t ^{7} ) ^{\frac{5}{4}}}

= 5 t^{4} - (- \frac{7 t ^{6}}{4 ( t ^{7} ) ^{\frac{5}{4}}})

Vereinfache

= 5 t^{4} + \frac{7 t ^{6}}{4 ( t ^{7} ) ^{\frac{5}{4}}}

\frac{d}{d x} (\frac{x ^{3}}{( 1 - x ) ^{2}})

\frac{d}{d x} (x^{2} + y^{2} - z)

\int x^{r} d x

d er i v a t i v e \frac{x ^{2} - 6 x + 12}{x - 4}

y^{^{'}} + y = e^{- x} x