derivative of (6x^3+5x^2^2)

Lösung

\frac{d}{d x} ((6 x^{3} + 5 x^{2})^{2})

2 (6 x^{3} + 5 x^{2}) (18 x^{2} + 10 x)

Schritte zur Lösung

\frac{d}{d x} ((6 x^{3} + 5 x^{2})^{2})

Wende die Kettenregel an:

2 (6 x^{3} + 5 x^{2}) \frac{d}{d x} (6 x^{3} + 5 x^{2})

= 2 (6 x^{3} + 5 x^{2}) \frac{d}{d x} (6 x^{3} + 5 x^{2})

\frac{d}{d x} (6 x^{3} + 5 x^{2}) = 18 x^{2} + 10 x

= 2 (6 x^{3} + 5 x^{2}) (18 x^{2} + 10 x)

x \to - 2 lim (\frac{5 x}{2 + x})

\int \frac{x}{a} d x

n = 1 \sum \infty n (n - 1)

t an g e n t f (x) = 3^{x}, at x = 8

x \to 0 lim (\frac{( x + 1 )}{x})