Question

1. Explain whether the Quotient Rule should be used to find the partial derivative. Do not differentiate. (a) \frac{\partial}{\partial x} \left( \frac{x^2 y}{y^2 - 3} \right) (b) \frac{\partial}{\partial y} \left( \frac{x^2 y}{y^2 - 3} \right) (c) \frac{\partial}{\partial y} \left( \frac{x - y}{x^2 + 1} \right) (d) \frac{\partial}{\partial x} \left( \frac{x - y}{x^2 + 1} \right) (e) \frac{\partial}{\partial x} \left( \frac{xy}{x^2 + 1} \right) (f) \frac{\partial}{\partial y} \left( \frac{xy}{x^2 + 1} \right)

          1. Explain whether the Quotient Rule should be used to find the partial derivative. Do
not differentiate.
(a) \frac{\partial}{\partial x} \left( \frac{x^2 y}{y^2 - 3} \right)
(b) \frac{\partial}{\partial y} \left( \frac{x^2 y}{y^2 - 3} \right)
(c) \frac{\partial}{\partial y} \left( \frac{x - y}{x^2 + 1} \right)
(d) \frac{\partial}{\partial x} \left( \frac{x - y}{x^2 + 1} \right)
(e) \frac{\partial}{\partial x} \left( \frac{xy}{x^2 + 1} \right)
(f) \frac{\partial}{\partial y} \left( \frac{xy}{x^2 + 1} \right)

1. Explain whether the Quotient Rule should be used to find the partial derivative. Do
not differentiate.
(a) (∂)/(∂x) ( (x^2 y)/(y^2 - 3) )
(b) (∂)/(∂y) ( (x^2 y)/(y^2 - 3) )
(c) (∂)/(∂y) ( (x - y)/(x^2 + 1) )
(d) (∂)/(∂x) ( (x - y)/(x^2 + 1) )
(e) (∂)/(∂x) ( (xy)/(x^2 + 1) )
(f) (∂)/(∂y) ( (xy)/(x^2 + 1) )

Added by Cheryl R.

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