# How do you find the gradient vector of a function?

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Firstly, you need to define grad(x) and grad(y): def grad2(x): y = x x^2 = x*1 y^2 = y*1 x = grad(x); y = grad(y); Now you have to calculate the gradient of x^2 and y^2 in the first step: x = x*(1 + x) y = 1 + y*(1 – y) In the second step, you have to compute the gradient of y^2 and z^2: x^3 = x*y*1 + y*y*(1-y) y^3 = y*z*1 – z*z*(1+z) z = x^3 – 1*y^3 Now what you have to do is to solve the problem for x^3 and z^3: x, y, z = x + y*z z = z^3 – y^3 x, z = z + y*x This is the solution: x**2 official source x**3 y**2 = y**3 you could check here = z**3 There are no errors in the code.

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