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Find the gradient of the given function. Assume the variables are restricted to a domain on which
the function is defined.
z = (x+y)e^(3y)
Solution
Then, f/x = e3y
and f/y = 3e3y(x+y) + e3y
Hence, grad f = if/x + jf/y = e3y(i + (3x+3y+1)j)

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Find the gradient of the given function. Assume the variables are re.pdf

  • 1. Find the gradient of the given function. Assume the variables are restricted to a domain on which the function is defined. z = (x+y)e^(3y) Solution Then, f/x = e3y and f/y = 3e3y(x+y) + e3y Hence, grad f = if/x + jf/y = e3y(i + (3x+3y+1)j)