derivative 8/y-5/(-y)

Lösung

ableitung von

\frac{8}{y} - \frac{5}{- y}

- \frac{13}{y ^{2}}

Schritte zur Lösung

\frac{d}{d y} (\frac{8}{y} - \frac{5}{- y})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d y} (\frac{8}{y}) - \frac{d}{d y} (\frac{5}{- y})

\frac{d}{d y} (\frac{8}{y}) = - \frac{8}{y ^{2}}

\frac{d}{d y} (\frac{5}{- y}) = \frac{5}{y ^{2}}

= - \frac{8}{y ^{2}} - \frac{5}{y ^{2}}

Vereinfache

- \frac{8}{y ^{2}} - \frac{5}{y ^{2}} : - \frac{13}{y ^{2}}

= - \frac{13}{y ^{2}}

\int_{0}^{5} 2 x d x

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

\int \frac{- 3}{x ^{3}} d x

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

t an g e n t \frac{3 x}{4 - x ^{2}} = y, at x = 1