derivative f(x)=(3x-7)/(5x-2)

Lösung

ableitung von

f (x) = \frac{3 x - 7}{5 x - 2}

\frac{29}{( 5 x - 2 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{3 x - 7}{5 x - 2})

Wende die Quotientenregel an:

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

= \frac{\frac{d}{d x} ( 3 x - 7 ) ( 5 x - 2 ) - \frac{d}{d x} ( 5 x - 2 ) ( 3 x - 7 )}{( 5 x - 2 ) ^{2}}

\frac{d}{d x} (3 x - 7) = 3

\frac{d}{d x} (5 x - 2) = 5

= \frac{3 ( 5 x - 2 ) - 5 ( 3 x - 7 )}{( 5 x - 2 ) ^{2}}

Multipliziere aus

3 (5 x - 2) - 5 (3 x - 7) : 29

= \frac{29}{( 5 x - 2 ) ^{2}}

a re a y = 20 - x, y = x, y = 1

y^{^{''}} + 19 y = 0

\int_{0}^{\frac{π}{2}} tan^{2} (x) d x

\frac{\partial}{\partial y} (1 + x^{2})

d er i v a t i v e arctan (\frac{x}{4})