Computing Derivatives Exercises

Answer

• y occurs on both sides of the equation:

y = 4x + 3y

Therefore y is defined implicitly.

Answer

• Since y occurs all by itself on one side of the equation, y is defined explicitly:

y = 7x + x²

Answer

• y occurs on both sides of the equation, therefore y is defined implicitly: x⁴ + y = 6

Answer

• y is defined explicitly, since it gets one side of the equation all to itself:

Answer

• y is defined implicitly, since it occurs on both sides of the equation:

12x + 16y = x² – y – 8