Question

What does implicit differentiation mean?

Options

• Differentiating both sides of an equation with respect to \[x\], while remembering that \[y\] depends on \[x\].

• Treating \[y\] as a constant while differentiating with respect to \[x\].

• Differentiating only the terms containing \[x\].

• Solving every equation directly for \[y\] before differentiating.

Answer 1

Implicit differentiation differentiates both sides with respect to \[x\]. Since \[y\] depends on \[x\], terms containing \[y\] must also be differentiated.