derivative of (9x^6+4x^3^4)

Lösung

\frac{d}{d x} ((9 x^{6} + 4 x^{3})^{4})

4 (9 x^{6} + 4 x^{3})^{3} (54 x^{5} + 12 x^{2})

Schritte zur Lösung

\frac{d}{d x} ((9 x^{6} + 4 x^{3})^{4})

Wende die Kettenregel an:

4 (9 x^{6} + 4 x^{3})^{3} \frac{d}{d x} (9 x^{6} + 4 x^{3})

= 4 (9 x^{6} + 4 x^{3})^{3} \frac{d}{d x} (9 x^{6} + 4 x^{3})

\frac{d}{d x} (9 x^{6} + 4 x^{3}) = 54 x^{5} + 12 x^{2}

= 4 (9 x^{6} + 4 x^{3})^{3} (54 x^{5} + 12 x^{2})

t \to π lim (sin (\frac{3}{4} t))

s l o p e (- 4, 7), (2, - 8)

x \to 1 + lim ((1 - x) \cdot tan (\frac{π x}{2}))

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

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