derivative of cos((3x^2/(x+2)))

Lösung

\frac{d}{d x} (cos (\frac{3 x ^{2}}{x + 2}))

- \frac{3 sin ( \frac{3 x ^{2}}{x + 2} ) ( x ^{2} + 4 x )}{( x + 2 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (cos (\frac{3 x ^{2}}{x + 2}))

Wende die Kettenregel an:

- sin (\frac{3 x ^{2}}{x + 2}) \frac{d}{d x} (\frac{3 x ^{2}}{x + 2})

= - sin (\frac{3 x ^{2}}{x + 2}) \frac{d}{d x} (\frac{3 x ^{2}}{x + 2})

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

= - sin (\frac{3 x ^{2}}{x + 2}) \frac{3 ( x ^{2} + 4 x )}{( x + 2 ) ^{2}}

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{3 sin ( \frac{3 x ^{2}}{x + 2} ) ( x ^{2} + 4 x )}{( x + 2 ) ^{2}}

x \to 2 lim ([7 f (x) + g (x)])

im pl i c i t \frac{d y}{d x}, x y = 56

\frac{\partial}{\partial x} (sin (π (x - 4 y)))

\int (6 x^{2} - 4 x + 3) d x

\frac{\partial}{\partial x} (ln (x^{10} y))