erweitern derivative of ((50(x-2^3))/(e^x))+10

Lösung

erweitern

\frac{d}{d x} \frac{( 50 ( x - 2 ) ^{3} )}{e ^{x}} + 10

\frac{d}{d x} (\frac{50 x ^{3} - 300 x ^{2} + 600 x - 400}{e ^{x}}) + 10

Schritte zur Lösung

\frac{d}{d x} (\frac{50 ( x - 2 ) ^{3}}{e ^{x}}) + 10

\frac{d}{d x} (\frac{50 ( x - 2 ) ^{3}}{e ^{x}}) = \frac{d}{d x} (\frac{50 x ^{3} - 300 x ^{2} + 600 x - 400}{e ^{x}})

= \frac{d}{d x} (\frac{50 x ^{3} - 300 x ^{2} + 600 x - 400}{e ^{x}}) + 10

e x p an d \frac{8}{( s - 2 ) ( s ^{2} - 4 s + 20 )}

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

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

e x p an d lo g_{7} (3 x^{5})

e x p an d \frac{1}{( u - 1 ) ( u + 1 )}