Question

What must be checked before applying derivative formulas for inverse functions?

Options

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

• \[\cos y\] is positive

• \[\sin y=x\]

• Domain restrictions

Answer 1

Domain restrictions must be checked before applying formulas. For instance, the formulas use conditions such as \[|x|<1\], \[x\in\mathbb{R}\], or \[|x|>1\].