SOLUTION: Plot a graph of the function f(x) =2x^2 - 3x^4/3 and identify the location of critical points and inflections points.

Question 1180890: Plot a graph of the function f(x) =2x^2 - 3x^4/3 and identify the location of critical points and inflections points.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Plot a graph of the function and identify the location of critical points and inflections points.

Solving the equation ′ on this interval, we get the location of critical points.

' =
' =

one solution is
=>=>=>

solutions:

= ±

the location of critical points is at ,, and

An inflection point is a point on the graph of a function at which the concavity changes. Points of inflection can occur where the second derivative is zero. In other words, solve '' = to find the potential inflection points.
Even if '', you can't conclude that there is an inflection at .

'' =
'' =

= ±
there is an inflection at and at

RELATED QUESTIONS
Please help me solve this equation: Find all asymptotes, intercepts and graph. you... (answered by Edwin McCravy)

Find the x-coordinates of the inflections points of the function f(x) = x^4 - 8x^3 +... (answered by robertb)

Find the critical points of the following function.... (answered by MathLover1,MathTherapy)

Perform a first derivative test on the function f(x)= 2x^3+3x^2-120x+2; [-5,7]. a.... (answered by MathLover1)

Consider f(x)=1/5x^5 +x^4 -4x^3 +3 A) Draw a graph of f, estimate all critical points,... (answered by Boreal)

Graph the function f(x)=sqrtx-2 Plot four points on the graph of the function: the... (answered by MathLover1)

f(x)= x^2-4x+4/x-1 a) Identify the x & y-intercepts b) Find all vertical, horizontal... (answered by stanbon)

f(x) = (-100e^-0.25x) - 50x (b) Determine the location of all critical points and... (answered by Boreal)

Let f(x) = x^4 + 2x^3 + 1 I take the derivative and set equal to zero to find its... (answered by Boreal)