derivative of (log_{2}(x)^4)

Lösung

\frac{d}{d x} ((lo g_{2} (x))^{4})

\frac{4 lo g _{2} ( x ) ^{3}}{ln ( 2 ) x}

Schritte zur Lösung

\frac{d}{d x} ((lo g_{2} (x))^{4})

Wende die Kettenregel an:

4 (lo g_{2} (x))^{3} \frac{d}{d x} (lo g_{2} (x))

= 4 (lo g_{2} (x))^{3} \frac{d}{d x} (lo g_{2} (x))

\frac{d}{d x} (lo g_{2} (x)) = \frac{1}{x ln ( 2 )}

= 4 (lo g_{2} (x))^{3} \frac{1}{x ln ( 2 )}

Vereinfache

4 lo g_{2} (x)^{3} \frac{1}{x ln ( 2 )} : \frac{4 lo g _{2} ( x ) ^{3}}{ln ( 2 ) x}

= \frac{4 lo g _{2} ( x ) ^{3}}{ln ( 2 ) x}

y^{^{''}} + 3 y^{^{'}} = 0, y (0) = 1, y^{^{'}} (0) = 1

d er i v a t i v e 3 x^{\frac{3}{2}}

s l o p e (2, 3), (7, - 6)

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

t an g e n t f (x) = \frac{1}{x + 1}, (0, 1)