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Beliebt Rechnen >

derivative of sqrt(4x^2+1)

Lösung

\frac{d}{d x} (4 x^{2} + 1)

Lösung

\frac{4 x}{4 x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} (4 x^{2} + 1)

Wende die Kettenregel an:

\frac{1}{2 4 x ^{2} + 1} \frac{d}{d x} (4 x^{2} + 1)

= \frac{1}{2 4 x ^{2} + 1} \frac{d}{d x} (4 x^{2} + 1)

\frac{d}{d x} (4 x^{2} + 1) = 8 x

= \frac{1}{2 4 x ^{2} + 1} \cdot 8 x

Vereinfache

\frac{1}{2 4 x ^{2} + 1} \cdot 8 x : \frac{4 x}{4 x ^{2} + 1}

= \frac{4 x}{4 x ^{2} + 1}

Graph

Beliebte Beispiele

derivative of sin(4x+1)

\frac{d}{d x} (sin (4 x + 1))

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(dy)/(dx)=(x^2+y^2-xy)/(x^2)

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

integral of ln(ax)

\int ln (a x) d x

integral of (18)/((81x^2+1)^2)

\int \frac{18}{( 81 x ^{2} + 1 ) ^{2}} d x