π

All Subjects

Β >Β

βΎοΈΒAP Calc

Β >Β

β¨Unit 5

1 min readβ’january 22, 2021

Sumi Vora

If we look at the first derivative of a function, we can see that if the rate of change of the function is increasing on an interval, the function is **concave up**. Likewise, if the rate of change of the function is decreasing, the function is **concave down**.Β

We can determine whether the first derivative is increasing or decreasing by taking the derivative of the derivative (aka the **second derivative**).Β π΅

If f"(a) = 0, then c is a special point called a **point of inflection**, which occurs when the function switches concavity. At a point of inflection, f(x) is neither concave up or concave down; it is linear at that point.Β π‘

Thousands of students are studying with us for the AP Calculus AB/BC exam.

join nowBrowse Study Guides By Unit

πBig Reviews: Finals & Exam Prep

βοΈFree Response Questions (FRQ)

π§Multiple Choice Questions (MCQ)

βΎUnit 10: Infinite Sequences and Series (BC Only)

πUnit 1: Limits & Continuity

π€Unit 2: Differentiation: Definition & Fundamental Properties

π€π½Unit 3: Differentiation: Composite, Implicit & Inverse Functions

πUnit 4: Contextual Applications of the Differentiation

β¨Unit 5: Analytical Applications of Differentiation

π₯Unit 6: Integration and Accumulation of Change

πUnit 7: Differential Equations

πΆUnit 8: Applications of Integration

π¦Unit 9: Parametric Equations, Polar Coordinates & Vector Valued Functions (BC Only)

Sign up now for instant access to 2 amazing downloads to help you get a 5

Thousands of students are studying with us for the AP Calculus AB/BC exam.

join nowTake this quiz for a progress check on what youβve learned this year and get a personalized study plan to grab that 5!

START QUIZTake this quiz for a progress check on what youβve learned this year and get a personalized study plan to grab that 5!

START QUIZ