Mastering Free-Response Questions in AP Calculus AB

What type of function is primarily discussed in the session?

• Quadratic function

• Exponential function

• Trigonometric function

• Piecewise function

What is the correct expression for G of X given in the session?

• x + integral from -1 to x of f(t) dt

• 2x + integral from -2 to x of f(t) dt

• 2x^2 + integral from -2 to 2 of f(t) dt

• x^2 + integral from 0 to x of f(t) dt

What is the base of the rectangle used in the area calculation from -2 to 0?

• 1

• 2

• 3

• 4

What is the result of the integral calculation from -2 to 0 for the function f?

• 3

• 4

• 6

• 5

What theorem is used to derive G Prime of X?

• Power rule

• Chain rule

• Fundamental theorem of calculus

• Limit definition of derivative

At which point does G Prime of -2 not exist due to non-differentiability?

• At a corner

• At an endpoint

• At a discontinuity

• At a cusp

What intervals is the graph of G concave down?

• From -2 to 0 and 2 to 8

• From 0 to 2 and 8 to 10

• From -3 to 0 and 2 to 7

• From -1 to 1 and 3 to 5

What rule is applied to find the derivative of the composite function H of X?

• Chain rule

• Quotient rule

• Sum rule

• Product rule

What is the value of G Prime of 2 used in the calculation of H Prime of 1?

• 5

• 6

• 7

• 8

What is the derivative of the inside function in the composite function H of X?

• x^2

• 4x

• 3x^2

• 2x