derivative f(x)=ln(x^2-8x+16)

Lösung

ableitung von

f (x) = ln (x^{2} - 8 x + 16)

\frac{2}{x - 4}

Schritte zur Lösung

\frac{d}{d x} (ln (x^{2} - 8 x + 16))

Wende die Kettenregel an:

\frac{1}{x ^{2} - 8 x + 16} \frac{d}{d x} (x^{2} - 8 x + 16)

= \frac{1}{x ^{2} - 8 x + 16} \frac{d}{d x} (x^{2} - 8 x + 16)

\frac{d}{d x} (x^{2} - 8 x + 16) = 2 x - 8

= \frac{1}{x ^{2} - 8 x + 16} (2 x - 8)

Vereinfache

\frac{1}{x ^{2} - 8 x + 16} (2 x - 8) : \frac{2}{x - 4}

= \frac{2}{x - 4}

\frac{\partial}{\partial x} (cos^{2} (θ))

\frac{d}{d x} (x^{(\frac{2}{3})})

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