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 2 years ago
In the session 32 there is differintiation (33:27)
\sqrt { (ax)^{ 2 }+(by)^{ 2 } }
Professor wrote on the board:
\frac { (ax)+(by)\frac { dy }{ dt } }{ \sqrt { { { (ax }) }^{ 2 }+{ (by) }^{ 2 } } }
But what i get after solving this:
\sqrt { (ax)^{ 2 }+(by)^{ 2 } } =((ax)^{ 2 }+(by)^{ 2 })^{ \frac { 1 }{ 2 } }=\frac { 1 }{ 2 } w^{ \frac { 1 }{ 2 } }(2a+2x2b\frac { dy }{ dt } +2y\frac { dy }{ dt } )=\frac { (ax)+(by)\frac { dy }{ dt } }{ \sqrt { { { (ax }) }^{ 2 }+{ (by) }^{ 2 } } }
Where is the error?
 2 years ago
In the session 32 there is differintiation (33:27) \sqrt { (ax)^{ 2 }+(by)^{ 2 } } Professor wrote on the board: \frac { (ax)+(by)\frac { dy }{ dt } }{ \sqrt { { { (ax }) }^{ 2 }+{ (by) }^{ 2 } } } But what i get after solving this: \sqrt { (ax)^{ 2 }+(by)^{ 2 } } =((ax)^{ 2 }+(by)^{ 2 })^{ \frac { 1 }{ 2 } }=\frac { 1 }{ 2 } w^{ \frac { 1 }{ 2 } }(2a+2x2b\frac { dy }{ dt } +2y\frac { dy }{ dt } )=\frac { (ax)+(by)\frac { dy }{ dt } }{ \sqrt { { { (ax }) }^{ 2 }+{ (by) }^{ 2 } } } Where is the error?

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