# How do you find the exact relative maximum and minimum of the polynomial function of #y=x^3#?

So. y is neither a maximum nor a minimum at x = 0.

Note that y'' = 6x > 0 for x > 0 and < 0 for x < 0.

Origin is a point of inflexion wherein y'changes sign and the tangent

y = 0 crosses the curve..

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

To find the relative maximum and minimum of the polynomial function ( y = x^3 ), you first find its critical points by setting its derivative equal to zero. Then, you analyze the behavior of the function around these critical points using the first or second derivative test to determine whether they correspond to relative maximum, minimum, or neither. For ( y = x^3 ), there are no relative maximum or minimum points since it is a monotonic increasing 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 the maximum, minimum and inflection points and concavity for the function #f(x) = (4x)/(x^2+4)#?
- On what interval is #f(x)=6x^3+54x-9# concave up and down?
- How do you find the first and second derivative of #ln(x^4+5x^2)^(3/2) #?
- For what values of x is #f(x)= -9x^3 + 4 x^2 + 7x -2 # concave or convex?
- Can a point of inflection be undefined?

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