Find the gradient =g of the function g(x, y) = r5, where r = sqrt (x2 +y2). Hint: introduce a new variable, u = x2 +
y2. Express g(x, y) in terms of u and use the chain rule to find dg/dx and dg/dy.
Mathematics Homework Solutions
#115782
Partial Differentials Equations : Gradient of the Function
Find the gradient ∇g of the function g(x, y) = r^5, where r = sqrt (x^2 +y^2). Hint: introduce a new variable, u = x2 +
y2. Express g(x, y) in terms of u and use the chain rule to find dg/dx and dg/dy.
The gradient of a function is found. The solution is detailed and well presented.
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