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

Methods for doing integral, There are really three various methods for doin...

There are really three various methods for doing such integral. Method 1: This method uses a trig formula as, ∫sin(x) cos(x) dx = ½ ∫sin(2x) dx = -(1/4) cos(2x) + c

Operations with rational numbers, larry spends 3/4 hours twice a day walkin...

larry spends 3/4 hours twice a day walking and playing with his dog. He spends 1/6 hours twice a day feeding his dog. how much time does larry spend on his dog each day?

Quantitative, A lobster catcher spends $12 500 per month to maintain a lobs...

A lobster catcher spends $12 500 per month to maintain a lobster boat. He plans to catch an average of 20 days per month during lobster season. For each day, he must allow approx

An aeroplane is flying , An aeroplane is flying at a specific height of 5 k...

An aeroplane is flying at a specific height of 5 km, and at a velocity of 450 km/hr. A camera on the ground is pointed towards the plane, at an angle θ from the horizontal. As the

Vectors - calculus, Vectors This is a quite short section. We will b...

Vectors This is a quite short section. We will be taking a concise look at vectors and a few of their properties. We will require some of this material in the other section a

If 1/x+2, if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5...

if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5 are in AP find x. 1/x+3 - 1/x+2 = 1/x+5-1/x+3 => 1/x 2 +5x+6 = 2/ x 2 +8x +15 => On solving we get x

The blood pressure over two heart beats, At rest, the human heart beats onc...

At rest, the human heart beats once every second. At the strongest part of the beat, a person's blood pressure peaks at 120mmHg. At the most relaxed part of the beat, a person's bl

Regular pyramid, define regular pyramid

define regular pyramid

Wronskian, In the earlier section we introduced the Wronskian to assist us ...

In the earlier section we introduced the Wronskian to assist us find out whether two solutions were a fundamental set of solutions. Under this section we will look at the other app

Properties of vector arithmetic, Properties of Vector Arithmetic If v, ...

Properties of Vector Arithmetic If v, w and u are vectors (each with the same number of components) and a and b are two numbers then we have then following properties. v →

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

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!

Name

Email id

Message

Verfication Code

User Account

All Pages