Partial differentiation

Quiz Content

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. Which of the following is not true of z = f(x,y) ?

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. If the gradient of a function of three variables Ω = f(x,y,z) is 4i + 3k, what is the rate of change of Ω in the direction 2i + 2j k ?

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. If z = x2y3 + ln(y), what is (∂y/∂x)z?

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. Which of the following is not true at a maximum point of z = f(x,y) ?

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. If (∂2z/∂x2) (∂2z/∂y2) = (∂2z/∂xy)2 at a stationary point, what is its nature?

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