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

Combined mean and standard deviation, Combined Mean And Standard Deviation ...

Combined Mean And Standard Deviation Occasionally we may need to combine 2 or more samples say A and B. Therefore it is essential to identify the new mean and the new standard

Alternate notation of derivative, Alternate Notation : Next we have to dis...

Alternate Notation : Next we have to discuss some alternate notation for the derivative. The typical derivative notation is the "prime" notation. Though, there is another notation

Equivalence class and equivalence relation, 1. For a function f : Z → Z, le...

1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc

Determine rank correlation coefficient, Determine Rank Correlation Coef...

Determine Rank Correlation Coefficient A group of 8 accountancy students are tested in Quantitative Techniques and Law II. Their rankings in the two tests were as:

Linear programming, briefly explain what is meant by LPP

briefly explain what is meant by LPP

Solve the form x2 - bx - c in factoring polynomials, Solve The form x 2 -...

Solve The form x 2 - bx - c in Factoring Polynomials ? This tutorial will help you factor quadratics that look something like this: x 2 - 11x - 12 (No lead coefficient

Polya’s first and second principle:-mathematical problem, Mathematical Prob...

Mathematical Problem Solving In 1945, mathematician George Polya (1887-1985) published a book titled How To Solve It in which he demonstrated his approach to solving problems.

Find out that the relation is an equivalent relation or not, Let m be a pos...

Let m be a positive integer with m>1. Find out whether or not the subsequent relation is an equivalent relation. R = {(a,b)|a ≡ b (mod m)} Ans: Relation R is illust

Loan amortisation problem, On 30 June 2012 Bill purchase a home by taking o...

On 30 June 2012 Bill purchase a home by taking out a 30 year mortgage of $600,000 at 6% interest per annum, compounded months. Repayments are made at the end of each month. (a) Cal

Differential equation - variation of parameters, Variation of Parameters ...

Variation of Parameters Notice there the differential equation, y′′ + q (t) y′ + r (t) y = g (t) Suppose that y 1 (t) and y 2 (t) are a fundamental set of solutions for

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