derivative of x^2-16ln(x^2)

Lösung

\frac{d}{d x} (x^{2} - 16 ln (x^{2}))

2 x - \frac{32}{x}

Schritte zur Lösung

\frac{d}{d x} (x^{2} - 16 ln (x^{2}))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) - \frac{d}{d x} (16 ln (x^{2}))

\frac{d}{d x} (x^{2}) = 2 x

\frac{d}{d x} (16 ln (x^{2})) = \frac{32}{x}

= 2 x - \frac{32}{x}

l a pl a ce t r an s f or m t e^{- 4 t}

\frac{\partial}{\partial x} (\frac{e ^{- x}}{x ^{2} + y ^{2}})

y^{^{''}} + 1.5 y^{^{'}} + 0.37 y = 0, y (0) = 2, y^{^{'}} (0) = 1

\frac{\partial}{\partial y} (e^{x y} cos (x^{2}))

n = 1 \sum \infty \frac{3}{n ^{2} + 5}