Example of inflection point - set theory and calculus, Mathematics

Assignment Help:

Need help, Determine the points of inflection on the curve of the function

y = x3

 


Related Discussions:- Example of inflection point - set theory and calculus

Find the z-score, For a population with a mean of μ=80 and a standard devia...

For a population with a mean of μ=80 and a standard deviation of o=12, find the z-score corresponding to each of the following samples. a.    M=83 for a sample of n=4 scores b.

Fact - undetermined coefficients, Here, let's take a look at sums of the fu...

Here, let's take a look at sums of the fundamental components and/or products of the fundamental components. To do this we'll require the following fact. Fact- Undetermined Co

Toplogy, Let 0 ! V1 !    ! Vk ! 0 be a long exact sequence of vector spa...

Let 0 ! V1 !    ! Vk ! 0 be a long exact sequence of vector spaces with linear maps. Show that P (??1)i dim Vi = 0.

What is the net area to be painted, An elevated cylindrical shaped water to...

An elevated cylindrical shaped water tower is in require of paint. If the radius of the tower is 10 ft and the tower is 40 ft tall, what is the net area to be painted? (π = 3.14)

Trignometric function, If tanx+secx=sqr rt 3, 0 Ans) sec 2 x=(√3-tanx) 2...

If tanx+secx=sqr rt 3, 0 Ans) sec 2 x=(√3-tanx) 2 1+tan 2 x=3+tan 2 x-2√3tanx 2√3tanx=2 tanx=1/√3 x=30degree

Linda bought 35 yards of fencing how much did she spend, Linda bought 35 ya...

Linda bought 35 yards of fencing at $4.88 a yard. How much did she spend? To multiply decimals, multiply generally, count the number of decimal places in the problem, then us

What is equivalence relation, What is equivalence relation?  Prove that rel...

What is equivalence relation?  Prove that relation  'congruence modulo' (  ≡mod m) is an equivalence relation.  Ans: A relation R illustrated on a nonempty set A is said to be

Inequalality, the low temperature in onw city was -4degrees Fahrenheit. The...

the low temperature in onw city was -4degrees Fahrenheit. The low temperature in another city was 8degrees Fahrenheit. what is an inequality to compare those temperatures

Aliena

2/13/2013 12:24:41 AM

hey try this...

The only possible inflexion points will happen where

(d2y)/( dx2)   = 0

From specified function as:

(dy)/(dx) = 3x2 and (d2y)/( dx2)   = 6x

Equating the second derivative to zero, we include

6x = 0 or x = 0

We test whether the point at that x = 0 is an inflexion point as follows

While x is slightly less than 0, ((d2y)/(dx2)) < 0; it means a downward concavity

While x is slightly larger than 0, ((d2y)/(dx2)) > 0;  it means an upward concavity

Hence we have a point of inflexion at point x = 0 since the concavity of the curve changes as we pass from the left to the right of x = 0

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd