On what interval is the function f(x)=x^3-4x^2+5x concave upward?

1 answer:

3 0

Calculus 1?

To find concavity you must take the second derivative.

As you would to find your local maximums and minimums (critical points) in the first derivative by setting y' = 0, to find points of inflection you set acceleration, y" = 0.

Now that you know where the point in which the function is neither concave up or concave down (at the points of inflection) plug x-values between them into the second derivative for x. If y" is positive between those particular points will be concave up and if y" is negative it will be concave down between that interval.

For a better understanding you might find a good video on Youtube explaining this if you search "Points of Inflections" or "Concavity of a function".

Cheers.

You might be interested in

A square field has a side of 42 m. Find the cost of fencing its boundary at Rs. 8 per metré.

Rufina [12.5K]

I have to say something bc I am sleepy

3 0

3 years ago

Why and when do we cross multiply in algebra?

Nataly [62]

Answer:

You cross multiply to solve for a variable. You cross multiply when given a proportion.

4 0

3 years ago

Read 2 more answers

One skeleton in a museum has 189 bones.another skeleton has 232 bones. How many bones are in the two skeleton?

gayaneshka [121]

421 is the correct answer.

8 0

3 years ago

Convert 10009 out of 17%

Anvisha [2.4K]

Answer:

Step-by-step explanation:

To convert 10,009 to 17%, turn 17% to decimal and multiply that by 10,009 (10,009 * 0.17), which equals 1,701.53

IF you meant to convert the fraction 10,009/17% (read as "10,009 out of 17 percent, ") then simply convert 17% to a decimal (0.17) and divide 10,009 by 0.17 (10,009/0.17) which is about 58,876.47, for full decimal, use a calculator and do 10,009/0.17

The question is kind of confusing so tell me what you meant

6 0

3 years ago

Question 1 of 5

Sladkaya [172]

Answer:

The simplified fractional equivalent is $\frac{1}{4}$