erweitern derivative of (x-1(x-5)^3)+9

Lösung

erweitern

\frac{d}{d x} ((x - 1) (x - 5)^{3}) + 9

\frac{d}{d x} (x^{4} - 16 x^{3} + 90 x^{2} - 200 x + 125) + 9

Schritte zur Lösung

\frac{d}{d x} ((x - 1) (x - 5)^{3}) + 9

\frac{d}{d x} ((x - 1) (x - 5)^{3}) = \frac{d}{d x} (x^{4} - 16 x^{3} + 90 x^{2} - 200 x + 125)

= \frac{d}{d x} (x^{4} - 16 x^{3} + 90 x^{2} - 200 x + 125) + 9

s im pl i f y (86 x - 246)^{2}

e x p an d x^{2} \frac{( x + 3.6 )}{x + 0.4}

e x p an d \frac{4 ( x - 3 )}{x - 5}

s im pl i f y (3 x + 1) (3 x - 1)

e x p an d \frac{8 l ^{2} - 16 l + a ^{2} + 6 a - 6 l a + 8}{( - 2 l + 2 + a ) ^{2}}