Inflection Points Practice Problems Online

Given the function $f(x)=3x^3-9x^2+14x+36,$ what is the inflection point $(a,b)$ of $f(x)$ ?

If one of the inflection points of the curve $y = \ln (ax^2 + b)$ is $(1, \ln 50)$ , what is the value of $a \times b$ ?

Let $f(x)=x^3+12x^2+3x-5.$ If $a$ and $b$ are constants such that the inflection point of the curve $y=f(x-a)+b$ is the origin $(0,0),$ what is the ordered pair $(a,b)?$

If $a$ and $b$ are constants such that the curve $f(x)=\ln (ax^2 + b)$ has an inflection point $(1,\ln 16),$ what is the value of $ab?$

The slope of the tangent line to the curve $y=ax^3-bx^2+cx$ at $x=2$ is $13,$ where $a, b$ and $c$ are constants. If $P=(1,7)$ is the inflection point of the curve, what is the value of $a+b+c$ ?

Concept Quizzes

Challenge Quizzes

Inflection Points

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.