derivative of ln((x+3^4))

Lösung

\frac{d}{d x} (ln ((x + 3)^{4}))

\frac{4}{x + 3}

Schritte zur Lösung

\frac{d}{d x} (ln ((x + 3)^{4}))

Wende die Kettenregel an:

\frac{1}{( x + 3 ) ^{4}} \frac{d}{d x} ((x + 3)^{4})

= \frac{1}{( x + 3 ) ^{4}} \frac{d}{d x} ((x + 3)^{4})

\frac{d}{d x} ((x + 3)^{4}) = 4 (x + 3)^{3}

= \frac{1}{( x + 3 ) ^{4}} \cdot 4 (x + 3)^{3}

Vereinfache

\frac{1}{( x + 3 ) ^{4}} \cdot 4 (x + 3)^{3} : \frac{4}{x + 3}

= \frac{4}{x + 3}

y^{^{''}} + 4 y^{^{'}} - 12 y = 0

d er i v a t i v e (x^{2} - 7) x

\int \frac{2 x}{3 3 x ^{2} + 6} d x

\frac{d}{d x} (\frac{tan ( x ) - 1}{sec ( x )})

t an g e n t f (x) = 2 sin (x), at x = \frac{π}{3}