(((a-5)+(a-3)^'+(a-4)^')/((a-3)^'))^'

解答

(\frac{( a - 5 ) + ( a - 3 ) ^{^{'}} + ( a - 4 ) ^{^{'}}}{( a - 3 ) ^{^{'}}})^{^{'}}

未定义

求解步骤

(\frac{( a - 5 ) + ( a - 3 ) ^{'} + ( a - 4 ) ^{'}}{( a - 3 ) ^{'}})^{'}

使用微分除法定则:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{( a - 5 + ( a - 3 ) ^{^{'}} + ( a - 4 ) ^{^{'}} ) ^{^{'}} ( a - 3 ) ^{^{'}} - ( ( a - 3 ) ^{^{'}} ) ^{^{'}} ( a - 5 + ( a - 3 ) ^{^{'}} + ( a - 4 ) ^{^{'}} )}{( ( a - 3 ) ^{^{'}} ) ^{2}}

(a - 5 + (a - 3)^{'} + (a - 4)^{'})^{'} = 0

(a - 3)^{'} = 0

(a - 4)^{'} = 0

(a - 3)^{'} = 0

(a - 3)^{''} = 0

(a - 3)^{'} = 0

(a - 3)^{'} = 0

(a - 4)^{'} = 0

(a - 3)^{'} = 0

= \frac{0 \cdot 0 - 0 \cdot ( a - 5 + 0 + 0 )}{0 ^{2}}

化简

\frac{0 \cdot 0 - 0 \cdot ( a - 5 + 0 + 0 )}{0 ^{2}} :

未定义

= 未定义

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