Geometry

Finding where tangent line is horizontal

Sorted by: 1. HINT: On implicit differentiation, 2 x + x d y d x + y + 2 y d y d x = 0. d y d x denotes the tangent line at ( x, y) The slope/gradient of horizontal tangent line = 0. This will give us a

Clarify math questions
mathmaster
Do mathematic problems

Equation of Tangent and Normal

The tangent line to the graph of f ( x) is horizontal at any point x such that f ′ ( x) = 0. To use your example, f ′ ( x) = 6 x 2 + 6 x − 36. Now find which values for x satisfy f ′ ( x) = 0. when x = − 3
  • Clarify mathematic equation

    Mathematics is the study of numbers, shapes, and patterns. It is used to describe and explain the physical world around us.

  • Work on the task that is enjoyable to you

    You will be more productive if you work on tasks that you enjoy.

  • Focus on your career

    No matter what else is going on in your life, your career should always be a top priority.

How to Calculate a Horizontal Tangent Line

Then find the corresponding y value in the ORIGINAL equation: f ( X) = ( x − 2) ( x 2 − x − 11) to determine the two points: ( x 1, y 1), ( x 2, y 2) where the line tangent to f (x) is horizontal. y 1 =

  • Solve mathematic

    To solve a math equation, you need to find the value of the variable that makes the equation true.

  • Deal with math problem

    I can help you with that math problem.

  • Solve equation

    I can solve the math problem for you.

  • Determine mathematic tasks

    You can use mathematics to determine how to complete tasks more efficiently.

  • Improve your academic performance

    If you're looking to improve your academic performance, try studying with a friend or group.

  • Provide multiple methods

    There are multiple ways to reduce stress, including exercise, relaxation techniques, and healthy coping mechanisms.

Our users love us
Decide math tasks

Calculus question taking derivative to find horizontal tangent line

The slope of the tangent line of a parametric curve defined by parametric equations x = / (t), y = g (t) is given by dy/dx = (dy/dt)/ (dx/dt). A parametric curve has a horizontal tangent

24/7 Live Expert

Our team is available 24/7 to help you with whatever you need.

Scan

Scanning a math problem can help you understand it better and make solving it easier.

Clarify mathematic problem

To solve a mathematical equation, you need to find the value of the unknown variable.