# What are the points of inflection of #f(x)=4 / (2x^2#?

No points of inflection.

First, let's evaluate the second derivative of this function using the "quotient rule":

By signing up, you agree to our Terms of Service and Privacy Policy

To find the points of inflection of ( f(x) = \frac{4}{2x^2} ), we need to find where the concavity changes.

First, find the second derivative of ( f(x) ): [ f''(x) = \frac{d^2}{dx^2} \left( \frac{4}{2x^2} \right) ]

[ f''(x) = \frac{d}{dx} \left( -\frac{8}{x^3} \right) ]

[ f''(x) = \frac{24}{x^4} ]

There are no points where ( f''(x) ) is equal to zero since the denominator can't be zero. Therefore, there are no points of inflection for this function.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you find intercepts, extrema, points of inflections, asymptotes and graph #y=abs(2x-3)#?
- How do you find the exact relative maximum and minimum of the polynomial function of # f(x) = –2x^3 + 6x^2 + 18x –18 #?
- For what values of x is #f(x)= x-x^2e^-x # concave or convex?
- How do you find the exact relative maximum and minimum of the polynomial function of #f(x)= 2x^3-3x^2-12x-1#?
- Is #f(x)=-2x^5-2x^3+3x^2-x+3# concave or convex at #x=-1#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7