derivative of 3(4-9x^4)

Lösung

\frac{d}{d x} (3 (4 - 9 x)^{4})

- 108 (4 - 9 x)^{3}

Schritte zur Lösung

\frac{d}{d x} (3 (4 - 9 x)^{4})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} ((4 - 9 x)^{4})

Wende die Kettenregel an:

4 (4 - 9 x)^{3} \frac{d}{d x} (4 - 9 x)

= 4 (4 - 9 x)^{3} \frac{d}{d x} (4 - 9 x)

\frac{d}{d x} (4 - 9 x) = - 9

= 3 \cdot 4 (4 - 9 x)^{3} (- 9)

Vereinfache

= - 108 (4 - 9 x)^{3}

\int \frac{7 e ^{7 x}}{1 + e ^{7 x}} d x

x \to 0 lim (\frac{tan ( 12 x )}{sin ( 4 x )})

\frac{\partial}{\partial x} (y e^{x} - x^{2} y^{- 3})

t an g e n t y = \frac{4 x}{x ^{2} + 1}, (0, 0)

x \to - 1 lim (x^{2} - 2 x + 3)