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Beliebt Rechnen >

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

Lösung

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

Lösung

32 I n x - 2 x

Schritte zur Lösung

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

Behandle

n, I

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 32 I n x - 2 x

Graph

Beliebte Beispiele

integral of sin(2x)cos^2(x)

\int sin (2 x) cos^{2} (x) d x

derivative of x^3+2x^2-1

\frac{d}{d x} (x^{3} + 2 x^{2} - 1)

integral of x(1-x)^{99}

\int x (1 - x)^{99} d x

integral of x/(x^4+4x^2+5)

\int \frac{x}{x ^{4} + 4 x ^{2} + 5} d x

limit as x approaches 2+of (2-x)/(|x-2|)

x \to 2 + lim (\frac{2 - x}{∣ x - 2 ∣})