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Beliebt Rechnen >

derivative of sqrt(2{p)(xx})

Lösung

\frac{d}{d x} (2 p (x) x)

Lösung

\frac{x \frac{d}{d x} ( p ( x ) ) + p ( x )}{2 x p ( x )}

Schritte zur Lösung

\frac{d}{d x} (2 p (x) x)

Wende die Kettenregel an:

\frac{1}{2 2 p ( x ) x} \frac{d}{d x} (2 p (x) x)

= \frac{1}{2 2 p ( x ) x} \frac{d}{d x} (2 p (x) x)

\frac{d}{d x} (2 p (x) x) = 2 (x \frac{d}{d x} (p (x)) + p (x))

= \frac{1}{2 2 p ( x ) x} \cdot 2 (x \frac{d}{d x} (p (x)) + p (x))

Vereinfache

\frac{1}{2 2 p ( x ) x} \cdot 2 (x \frac{d}{d x} (p (x)) + p (x)) : \frac{x \frac{d}{d x} ( p ( x ) ) + p ( x )}{2 x p ( x )}

= \frac{x \frac{d}{d x} ( p ( x ) ) + p ( x )}{2 x p ( x )}

Beliebte Beispiele

derivative arctan(x/3)

d er i v a t i v e arctan (\frac{x}{3})

derivative f(x)=x+sqrt(x)+2

d er i v a t i v e f (x) = x + x + 2

(\partial)/(\partial x)(xy(x-2)(y+3))

\frac{\partial}{\partial x} (x y (x - 2) (y + 3))

integral of xln(x+5)

\int x ln (x + 5) d x

(\partial)/(\partial x)(ln(x^2+y^5))

\frac{\partial}{\partial x} (ln (x^{2} + y^{5}))