Computing Derivatives Exercises

Answer

• First we take the derivative of each side, remembering that the derivative of y³ requires the chain rule:

Answer

• We take the derivative of each side, remembering to use the chain rule:

Then we move all the y' terms on one side of the equation, so we can solve for y':

Answer

• As always, start by taking the derivative of each side:

Then we move all the y' terms on one side of the equation, and we can solve for y':

Answer

• We need to use the product rule twice for this one.

Now we move all the y' terms on one side and all the others on the other side:

Answer

• We need to use the quotient rule.

That denominator of y² is getting in the way, so multiply both sides by y². Then we'll be able to solve for y'.