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Beliebt Rechnen >

derivative f(x)=((6x^2-6x+6)^5)

Lösung

ableitung von

f (x) = ((6 x^{2} - 6 x + 6)^{5})

Lösung

5 (6 x^{2} - 6 x + 6)^{4} (12 x - 6)

Schritte zur Lösung

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

Wende die Kettenregel an:

5 (6 x^{2} - 6 x + 6)^{4} \frac{d}{d x} (6 x^{2} - 6 x + 6)

= 5 (6 x^{2} - 6 x + 6)^{4} \frac{d}{d x} (6 x^{2} - 6 x + 6)

\frac{d}{d x} (6 x^{2} - 6 x + 6) = 12 x - 6

= 5 (6 x^{2} - 6 x + 6)^{4} (12 x - 6)

Graph

Beliebte Beispiele

derivative 3x^3ln(x^2)

d er i v a t i v e 3 x^{3} ln (x^{2})

sum from n=0 to infinity of 0

n = 0 \sum \infty 0

integral of sqrt(x)+x^2

\int x + x^{2} d x

tangent y=5x^4+3x-6,(1,2)

t an g e n t y = 5 x^{4} + 3 x - 6, (1, 2)

(\partial)/(\partial y)((5xy)/(10x-y))

\frac{\partial}{\partial y} (\frac{5 x y}{10 x - y})