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matracer

  • 3 years ago

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

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