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On the first example problem for session 32 (http://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/part-b-chain-rule-gradient-and-directional-derivatives/session-32-total-differentials-and-the-chain-rule/MIT18_02SC_we_15_comb.pdf) why is the partial derivative of w with respect to x only 3x^2+y? Shouldn't the y and z coefficients remain for the 3x^2?

OCW Scholar - Multivariable Calculus
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you are right..looks like a typo
Definitely an error, not a typo. And the error is propagated throughout the rest of the solution, giving the wrong answer to the problem.
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it is written 3x^2 yz + y so it is right the error is that dw/dy = x^3 z+ y while it has to be x^3 z+ x
@senecajim ThnX for the hint dun know how I missed it :/

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