AP Calculus Review Day 1 2024-2025

Matching the formulas

• f'(x)g(x) +g'(x)f(x)

• Product Rule

• Quotinent Rule

• Equation of Tangent Line

• Average Rate of Change

Given the graph of f'(x), where is the graph of f(x) is increasing? Select two correct answers

• (-2,2)

Reorder the steps of identifying the relative maximum

• find the f'(x)

• make f'(x) = 1, to find the critical points

• draw a number line

• try + or - for each part of the number line

• check the number line, the sign changes from postive to negative is the relative maximum

Matching the following rules

• concave down

• the f''(x) is negative, the f(x) is

• critical points

• the f'(x) is negative, the f(x) is

• decreasing

• the f''(x) is positive, the f(x) is

• increasing

• the f'(x) is postive, the f(x) is

• concave up

• the f'(x) is zero, to find the

Which one statements are correclty? Select all the answers if you think are correct

• the f'(x) changes from postive to negative, the f(x) has a relative maximum

• the f'(x) changes from negative to positive, the f(x) has a relative minimum

• the f''(x) changes from postive to negative, the f(x) is concave up

• the f''(x) changes from negative to positive, the f(x) is concave down

Matching the following

Which one represens the f'(x) of the given graph of f(x)

• 
• 
• 
• 

What's the relationships between the tops functions and the functions on the bottom?

• top functions are the f(x), the bottoms ones are the f'(x)

• top functions are the f(x), the bottoms ones are the f''(x)

• top functions are the f'(x), the bottoms ones are the f(x)

• top functions are the f''(x), the bottoms ones are the f(x)

what' s the concept used for this image?

• first derivative test

• 2nd derivative test

• increasing and decreasing

• concave up and concave down

The equation presents

• the definition of the derivative

• the definition of limits

• the equation of the tangent line

• average rate of change