erweitern derivative of (2x-8c(9-x^2)^2)-2

Lösung

erweitern

\frac{d}{d x} ((2 x - 8 c) (9 - x^{2})^{2}) - 2

\frac{d}{d x} (162 x - 36 x^{3} + 2 x^{5} - 648 c + 144 c x^{2} - 8 c x^{4}) - 2

Schritte zur Lösung

\frac{d}{d x} ((2 x - 8 c) (9 - x^{2})^{2}) - 2

\frac{d}{d x} ((2 x - 8 c) (9 - x^{2})^{2}) = \frac{d}{d x} (162 x - 36 x^{3} + 2 x^{5} - 648 c + 144 c x^{2} - 8 c x^{4})

= \frac{d}{d x} (2 x^{5} - 8 c x^{4} - 36 x^{3} + 144 c x^{2} + 162 x - 648 c) - 2

e x p an d \frac{2}{( 1 - 2 x ) ^{2}}

\frac{d}{d x} ((f (x)) (2 x^{3} - 15 x^{2} + 24 x + 19))

e x p an d (x + 2)^{3} - e^{3 x}

e x p an d 2 x y d x + (x^{2} - 1) d y

s im pl i f y (sin (x) - cos (x)) (cos (x) - sin (x))