  # How to find relative maximum from derivative graph

The relative maxima and minima can be found by differentiating the function and finding the turning points at which the slope is zero. Further, these turning points can be checked through

• Average satisfaction rating 4.7/5
• Deal with mathematic question

## Worked example: finding relative extrema

Key Steps. Find the possible maximums and minimums by identifying the x-intercepts of f ‘. The x -intercepts of f ’ ( x) are -2 and 4. Identify the intervals where f ‘ is above the x-axis and below

• 266+ Math Experts
• 91% Recurring customers
• 94210 Student Reviews

## Maximum and Minimum

The second derivative is y'' = 30x + 4. At x = −3/5: y'' = 30 (−3/5) + 4 = −14. it is less than 0, so −3/5 is a local maximum. At x = +1/3: y'' = 30 (+1/3) + 4 = +14. it is greater than 0, so +1/3 is a local minimum. (Now you can look at the graph.)

Solve mathematic problem

math is the study of numbers, shapes, and patterns. It is used in everyday life, from counting to measuring to more complex calculations.

Determine mathematic problems

Math is a way of determining the relationships between numbers, shapes, and other mathematical objects.

Figure out math equation

For those who struggle with math, equations can seem like an impossible task. However, with a little bit of practice, anyone can learn to solve them.

## Client reviews

Very easy to use and has a great camera feature. I use it constantly for homework. Kudos to you guys for making math so much easier. He gets the answers right all of this time, and you can also take a picture, or write it down and then send it to it.

Cesar Lindsey

It easily helps me find answers to the math problems and makes it easy to do classwork, it does take a long time to enter an equation but then again you could just take a picture of it so yeah other than that it's in excellent up and I use it all the time for geometry. Thanks for creating this wonderful app.

Juan Diaz

Its Amazing I managed to do ny homework and learn so easy, completely free-to-use, no ads and a seriously amazing product. I am not a fake imma real person not computer, also gives detailed steps and different ways of solving the given equations, though doesn't always show the way I would solve the equation as the application has a higher level lever of mathematics that it can apply which can theoretically be problematic if the user doesn't know what the app did to solve the equation.

David Barney ## Finding relative extrema (first derivative test)

To find relative maximums, we need to find where our first derivative changes sign. To do this, find your first derivative and then find where it is equal to zero. Begin with: at This means we have extrema at x=0 and x=-8/3. Because we are
Get Started How to Find Local Extrema with the First Derivative Test

If the slope of f (x) is positive, then the graph of f’ (x) will be above the x-axis. All relative extrema of f (x) will become x-intercepts of f’ (x). All points of intersection of f (x) will become relative extrema of f’ (x). Additionally, if f (x)

Expert teachers will give you an answer in real-time

If you're looking for help with your homework, our expert teachers are here to give you an answer in real-time.

The passing grade for this class is 80%.

No matter what question you have, you can always find an answer with a quick online search.

## Relative minima & maxima review (article)

If x = y 2 12 and y = − 6, then x = 3 and z = f ( 3, − 6) = − 54. So, our three critical points are ( 0, 0, 0), ( 3, 6, – 54), and ( 3, – 6, – 54) Now it’s time to find our D-equation. D = f x x

Know

Knowing is the first step to understanding.

Top Experts

Our top experts are passionate about their work and committed to helping you succeed.

Get support from expert teachers