The Derivative of the Square Root Function (3.3.2)

Question 1

• The derivative of f(x) = sqrt(x) is f’(x) = 1/(2(sqrtx)).

Answer 1

• The derivative of f(x) = sqrt(x) is f’(x) = 1/(2(sqrtx)).

Question 2

• To find the instantaneous rate of change of an object at a specific time, substitute the time into the derivative of the position function.

Answer 2

• To find the instantaneous rate of change of an object at a specific time, substitute the time into the derivative of the position function.

Question 3

• To find the time when an object is moving a particular speed, set the derivative equal to that speed and solve for the independent variable.

Answer 3

• To find the time when an object is moving a particular speed, set the derivative equal to that speed and solve for the independent variable.