Question

? Calculate the gradient of the scalar function $f(x,y) = x^2 + y^2$ and sketch the scalar function as well as the gradient in the along the x-axis, i.e for $y = 0$ 

          ? Calculate the gradient of the scalar function $f(x,y) = x^2 + y^2$ and sketch the scalar function as well as the gradient in the along the x-axis, i.e for $y = 0$
? Calculate the gradient of the scalar function f(x,y) = x^2 + y^2 and sketch the scalar function as well as the gradient in the along the x-axis, i.e for y = 0

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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In the along the x-axis, i.e. for y=0.
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Transcript

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00:01 In this question, we've been given a differential equation, d -y, d -x being equal to the exponent of x plus y.
00:10 And we've been asked to determine the solution to this differential equation, given that y is equal to 0 when x is equal to 0.
00:19 Now for us to solve this, what we need to do is to separate the variables.
00:24 So if we separate the variables, we're going to get the exponent of negative y, d .y being equal to the exponent of x, d x.
00:34 What we did right here was to say, remember, this is the same as the exponent of x multiplied by the exponent of y.
00:42 So we took this to the other end, then it becomes the exponent of negative y...
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