derivative (5x+6)/(4x+2)

Lösung

ableitung von

\frac{5 x + 6}{4 x + 2}

- \frac{7}{2 ( 2 x + 1 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{5 x + 6}{4 x + 2})

Wende die Quotientenregel an:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( 5 x + 6 ) ( 4 x + 2 ) - \frac{d}{d x} ( 4 x + 2 ) ( 5 x + 6 )}{( 4 x + 2 ) ^{2}}

\frac{d}{d x} (5 x + 6) = 5

\frac{d}{d x} (4 x + 2) = 4

= \frac{5 ( 4 x + 2 ) - 4 ( 5 x + 6 )}{( 4 x + 2 ) ^{2}}

Vereinfache

\frac{5 ( 4 x + 2 ) - 4 ( 5 x + 6 )}{( 4 x + 2 ) ^{2}} : - \frac{7}{2 ( 2 x + 1 ) ^{2}}

= - \frac{7}{2 ( 2 x + 1 ) ^{2}}

\frac{d}{d x} (cos^{6} (x))

\int (sec^{2} (θ) + 6) d θ

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

t an g e n t y = (\frac{x + 3}{x - 1})^{2}, (5, 4)

f (x) = sin (x) + arcsin (x)