derivative of x^4-25x^2+144

Lösung

\frac{d}{d x} (x^{4} - 25 x^{2} + 144)

4 x^{3} - 50 x

Schritte zur Lösung

\frac{d}{d x} (x^{4} - 25 x^{2} + 144)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (25 x^{2}) + \frac{d}{d x} (144)

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

\frac{d}{d x} (25 x^{2}) = 50 x

\frac{d}{d x} (144) = 0

= 4 x^{3} - 50 x + 0

Vereinfache

= 4 x^{3} - 50 x

\frac{\partial}{\partial x} (x (x^{2} + y^{2})^{\frac{1}{2}})

d er i v a t i v e 1 + e^{x}

y^{^{''}} + 2 y^{^{'}} + y = 8 e^{- t}

\frac{d y}{d x} = - \frac{2 x y + y ^{2} + 1}{x ^{2} + 2 x y}

k = 1 \sum \infty \frac{2 ^{k}}{k !}