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Chapter 4: Q3P (page 203)

If $x^{y} = y^{x}$ , find $d y / d x$ at (2,4).

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Derivative of the equation is

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The provided equation is .

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Most popular questions from this chapter

If $w = x^{3} - y^{3} - 2 x y + 6$ ,find $\partial^{2} w / \partial x^{2}$ and $\partial^{2} w / \partial y^{2}$ at the points where $\partial w / \partial x = \partial w / \partial y = 0$ .

Question: A box has three of its faces in the coordinate planes and one vertex on the plane 2x + 3y + 4z = 6 .Find the maximum value of the box.

If $z = I n \sqrt{u^{2} + v^{2} + w^{2}}$ ,find $\partial z / \partial u, \partial z / \partial v, \partial z / w$

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$\frac{\partial^{2} z}{\partial x \partial θ}$ .

Given $z = y^{2}$ - $2 x^{2}$ , Find ${(\frac{\partial z}{\partial x})}_{r}, {(\frac{\partial z}{\partial θ})}_{x}, \frac{\partial^{2} z}{\partial x \partial θ}$ .

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If xy=yx, find dy/dx at (2,4).

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If $x^{y} = y^{x}$ , find $d y / d x$ at (2,4).