derivative of (3-4x^{4/3})

Lösung

\frac{d}{d x} ((3 - 4 x)^{\frac{4}{3}})

- \frac{16 ( 3 - 4 x ) ^{\frac{1}{3}}}{3}

Schritte zur Lösung

\frac{d}{d x} ((3 - 4 x)^{\frac{4}{3}})

Wende die Kettenregel an:

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

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

\frac{d}{d x} (3 - 4 x) = - 4

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

Vereinfache

\frac{4 ( 3 - 4 x ) ^{\frac{1}{3}}}{3} (- 4) : - \frac{16 ( 3 - 4 x ) ^{\frac{1}{3}}}{3}

= - \frac{16 ( 3 - 4 x ) ^{\frac{1}{3}}}{3}

t an g e n t f (x) = [(x - 2)^{2} - x]^{2}, at x = 3

a re a 4 - x^{2}, y = 0

\int_{3}^{6} 10000 e^{0.02 t} d t

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

x \to + 2 - lim (\frac{x}{x ^{2} - 4})