The video tutorial explains how to find the first derivative of a function using the product rule. It begins with an introduction to derivatives and a problem setup involving a chart of values. The instructor then demonstrates the use of the product rule to calculate the derivative, specifically at X = 1, using given values for F of X and F prime. The tutorial concludes with simplifying the result and providing final thoughts on the expression.

What is the main task described in the introduction section?

• Finding the second derivative of a function

• Finding the first derivative at a specific value of X

• Calculating the integral of a function

• Solving a system of equations

Which mathematical rule is used to find the derivative in the second section?

• Product Rule

• Chain Rule

• Power Rule

• Quotient Rule

What is the derivative of the square root of X as used in the product rule?

• X^2

• 1 / X

• 2 * sqrt(X)

• 1 / (2 * sqrt(X))

What value is substituted for X in the final section?

• X = 1

• X = 0

• X = 3

• X = 2

What is the simplified result of the expression after substitution?

• 3/2 - 1/5

• -3/2 + 1/5

• -1/2 + 1/5

• 1/2 - 1/5