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    Name:  homogenfunction.PNG
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    Help me out guys, I dont understand the step that they differentiate
    f (tx1, ..., txn) to get t f 'i(tx1, ..., txn)

    for example you partial differentiate f(5x2+5y2) to get f1=10x ( in this case, t =5 ), the answer in the picture says that it should be t.f1, which is 5.10x=50x ???

    Thanks guys
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    bump! help me guys
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    (Original post by than4711)
    Name:  homogenfunction.PNG
Views: 73
Size:  49.4 KB
    Help me out guys, I dont understand the step that they differentiate
    f (tx1, ..., txn) to get t f 'i(tx1, ..., txn)

    for example you partial differentiate f(5x2+5y2) to get f1=10x ( in this case, t =5 ), the answer in the picture says that it should be t.f1, which is 5.10x=50x ???

    Thanks guys
    Use the chain rule on the function.
    Your example is not applicable, as your example should read f(tx,ty) where t is independent of x and y.
    f(5x^2+5y^2) is not such a function. . .
 
 
 
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