展开 xY'(x)+x^{4(x-Y(x))^2}

解答

展开

x Y^{'} (x) + x^{4 (x - Y (x))^{2}}

x Y' (x) + x^{4 x^{2} - 8 x Y (x) + 4 Y (x)^{2}}

求解步骤

x Y^{'} (x) + x^{4 (x - Y (x))^{2}}

x^{4 (x - Y (x))^{2}} = x^{4 x^{2} - 8 x Y (x) + 4 Y (x)^{2}}

= x Y^{^{'}} (x) + x^{4 x^{2} - 8 x Y (x) + 4 Y (x)^{2}}

s im pl i f y \frac{( a + b - a - b ) ^{2}}{2 b}

e x p an d \frac{( 1 - e ^{- a t} ) z}{( z - 1 ) ( z - e ^{- a t} )}

e x p an d (3 + h) - 2

e x p an d \frac{1}{s ^{3} ( s - 1 ) ( s - 2 )}

e x p an d \frac{4 ( 3 q - 10 )}{3}