Question

What condition is required for \[\frac{\mathrm{d}x}{\mathrm{d}y}=\frac{1}{\left(\frac{\mathrm{d}y}{\mathrm{d}x}\right)}\]?

Options

• \[\frac{\mathrm{d}y}{\mathrm{d}x}=0\]

• \[\frac{\mathrm{d}x}{\mathrm{d}y}\neq1\]

• \[\frac{\mathrm{d}y}{\mathrm{d}x}\neq0\]

• \[\frac{\mathrm{d}x}{\mathrm{d}y}=0\]

Answer 1

The reciprocal expression has \[\frac{\mathrm{d}y}{\mathrm{d}x}\] in its denominator. Therefore, \[\frac{\mathrm{d}y}{\mathrm{d}x}\] must not be zero.