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(Solved): Let =2ln(r), where r=x2+y2. Express in terms of the unit radial vector r^ in R2. Step 1 ...
Let ?=2ln(r), where r=x2+y2?. Express ?? in terms of the unit radial vector r^ in R2. Step 1 of 3 Use the chain rule for gradients to evaluate ??. ???=?(2ln(r))=(r2?)?r? Step 2 of 3 Evaluate ?r, where r=x2+y2?. ?r?=??x?r?,?y?r??=?rx,?,ry??? Step 3 of 3 Express ?? in terms of the unit radial vector r^ in R2???=r2??r=r2??rx?,ry??=?r22x?,r22y??r^?