derivative of f(x)= 2/(x^2)-5x

Lösung

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

f (x) = - \frac{2}{x} - \frac{5 x ^{2}}{2} + c_{1}

Schritte zur Lösung

\frac{df}{d x} = \frac{2}{x ^{2}} - 5 x

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

f (x) = \int \frac{2}{x ^{2}} - 5 x d x

\int \frac{2}{x ^{2}} - 5 x d x = - \frac{2}{x} - \frac{5 x ^{2}}{2} + c_{1}

f (x) = - \frac{2}{x} - \frac{5 x ^{2}}{2} + c_{1}

x \to \frac{π}{2} lim (\frac{x}{2})

t an g e n t y = tan^{2} (x), (- \frac{π}{4}, 1)

\frac{\partial}{\partial y} (\frac{8 x}{y})

in v erse l a pl a ce \frac{s}{s ^{2} - 2 s + 4}

\frac{\partial}{\partial u} (3 sin (v) cos (u))