How do derivatives within a summation work?
1
Say I have a function like
$sum_{h=1}^H v_hz_h + v_0 $
How do I take the derivative of this function with respect to $z_h$?
derivatives summation
asked Nov 25 at 2:44
DeepDeadpool
1626
add a comment |
1
Say I have a function like
$sum_{h=1}^H v_hz_h + v_0 $
How do I take the derivative of this function with respect to $z_h$?
derivatives summation
asked Nov 25 at 2:44
DeepDeadpool
1626
2
if $H<infty$ then you can differentiate term by term. If $H=infty$ and the series of derivatives $sum_{k=0}^infty z'_h v_h$ converges uniformly then the derivative of the series coincide with the term-wise differentiation of the series
– Masacroso
Nov 25 at 2:47
add a comment |
1
1
1
Say I have a function like
$sum_{h=1}^H v_hz_h + v_0 $
How do I take the derivative of this function with respect to $z_h$?
derivatives summation
asked Nov 25 at 2:44
DeepDeadpool
1626
Say I have a function like
$sum_{h=1}^H v_hz_h + v_0 $
How do I take the derivative of this function with respect to $z_h$?
derivatives summation
derivatives summation
asked Nov 25 at 2:44
DeepDeadpool
1626
asked Nov 25 at 2:44
DeepDeadpool
1626
asked Nov 25 at 2:44
DeepDeadpool
1626
asked Nov 25 at 2:44
DeepDeadpool
1626
asked Nov 25 at 2:44
DeepDeadpool
1626
1626
2
if $H<infty$ then you can differentiate term by term. If $H=infty$ and the series of derivatives $sum_{k=0}^infty z'_h v_h$ converges uniformly then the derivative of the series coincide with the term-wise differentiation of the series
– Masacroso
Nov 25 at 2:47
add a comment |
2
if $H<infty$ then you can differentiate term by term. If $H=infty$ and the series of derivatives $sum_{k=0}^infty z'_h v_h$ converges uniformly then the derivative of the series coincide with the term-wise differentiation of the series
– Masacroso
Nov 25 at 2:47
2
2
if $H<infty$ then you can differentiate term by term. If $H=infty$ and the series of derivatives $sum_{k=0}^infty z'_h v_h$ converges uniformly then the derivative of the series coincide with the term-wise differentiation of the series
– Masacroso
Nov 25 at 2:47
if $H<infty$ then you can differentiate term by term. If $H=infty$ and the series of derivatives $sum_{k=0}^infty z'_h v_h$ converges uniformly then the derivative of the series coincide with the term-wise differentiation of the series
– Masacroso
Nov 25 at 2:47
add a comment |
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2
if $H<infty$ then you can differentiate term by term. If $H=infty$ and the series of derivatives $sum_{k=0}^infty z'_h v_h$ converges uniformly then the derivative of the series coincide with the term-wise differentiation of the series
– Masacroso
Nov 25 at 2:47