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Find the indicated derivative. dxdz​ for z=x3+1−x−4x2x2​ dxdz​=

Answer :

Final answer:

To find dxdz for the given function, differentiate the function with respect to x and multiply it by the derivative of x with respect to z, we get: dz/dx = 3x2 - 1 - 8x3x.

Explanation:

To find the indicated derivative dxdz for the given function z=x3+1-x-4x2x2, we need to differentiate the function with respect to x and then multiply it by the derivative of x with respect to z.

Taking the derivative of z with respect to x, we get: dz/dx = 3x2 - 1 - 8x3x.

Now, to find dxdz, we multiply dz/dx by the derivative of x with respect to z, which is the reciprocal of dz/dx. Therefore, dxdz = 1 / (dx/dz).

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