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Beliebt Rechnen >

derivative of ln(5x+7)

Lösung

\frac{d}{d x} (ln (5 x + 7))

Lösung

\frac{5}{5 x + 7}

Schritte zur Lösung

\frac{d}{d x} (ln (5 x + 7))

Wende die Kettenregel an:

\frac{1}{5 x + 7} \frac{d}{d x} (5 x + 7)

= \frac{1}{5 x + 7} \frac{d}{d x} (5 x + 7)

\frac{d}{d x} (5 x + 7) = 5

= \frac{1}{5 x + 7} \cdot 5

Vereinfache

\frac{1}{5 x + 7} \cdot 5 : \frac{5}{5 x + 7}

= \frac{5}{5 x + 7}

Graph

Beliebte Beispiele

integral of tan(4xse)c^24x

\int tan (4 x se) c^{2} 4 x d x

derivative f(x)=xsqrt(2x^2+7)

d er i v a t i v e f (x) = x 2 x^{2} + 7

derivative (ln(x)-1)/(ln^2(x))

d er i v a t i v e \frac{ln ( x ) - 1}{ln ^{2} ( x )}

integral of sin^2(5θ)

\int sin^{2} (5 θ) d θ

integral of (x^2-5x+3)/(x-7)

\int \frac{x ^{2} - 5 x + 3}{x - 7} d x