Understanding Derivatives and Chain Rule

What is the rate at which the y-coordinate is increasing in the given problem?

• 1 unit per second

• 2 units per second

• 3 units per second

• 4 units per second

What is the equation of the curve mentioned in the problem?

• Y = X^2 + 17^(1/2)

• Y = X^3 + 17^(1/2)

• Y = X^3 + 17

• Y = X^2 + 17

Which mathematical rule is applied to find the derivative with respect to time in this problem?

• Quotient Rule

• Product Rule

• Power Rule

• Chain Rule

What mistake did the narrator initially make while solving the problem?

• Using the wrong equation

• Plugging in the wrong value for x

• Plugging in the wrong value for y

• Forgetting to apply the chain rule

What is the final calculated rate of change of x (dx/dt) in the problem?

• 5/3 units per second

• 3/5 units per second

• 2/3 units per second

• 3/2 units per second