# How do you determine whether the function #f(x) = x/(x^2 - 5)# is concave up or concave down and its intervals?

See the explanation.

We have to find 2nd derivative,

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 the inflections points for #g(x) = 3x^4 − 6x^3 + 4#?
- Is #f(x) =(x-1)^3/(x^2-2)# concave or convex at #x=8#?
- How do you find points of inflection and determine the intervals of concavity given #y=3/(x^2+4)#?
- How do you find the point of inflexion of y=xe^(-x)+3? Then the inflectional tangent?
- Is #f(x)=-3x^3-2x^2-12x-4# 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