展开 y'(x)+x(y'(x)+x)

解答

展开

y^{'} (x) + x (y^{'} (x) + x)

y' (x) + x y' (x) + x^{2}

求解步骤

y^{'} (x) + x (y^{'} (x) + x)

乘开

x (y^{'} (x) + x) : x y^{'} (x) + x^{2}

= y^{'} (x) + x y^{'} (x) + x^{2}

e x p an d \frac{- s ^{2} + 36}{( s ^{2} + 36 ) ^{2}}

e x p an d \frac{2 a}{( a ^{2} - b ^{2} ) ( a ^{2} + 3 b ^{2} )}

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

e x p an d - \frac{( r _{2} w ^{2} L c - r _{1} ) ( 1 - w ^{2} L c )}{w ^{2} c ^{3}}

e x p an d (- x cos^{2} (y) - x sin^{2} (y))^{2}