# How do you find the exact relative maximum and minimum of the polynomial function of #f(x)=(x^3)-12x+2#?

Slope check in interval ,

Therefore, increasing slope.

Therefore, decreasing slope .

Therefore, increasing slope.

x^3–12x +2 [-40, 40, -20, 20]} [Ans]

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

To find the exact relative maximum and minimum of the polynomial function ( f(x) = x^3 - 12x + 2 ), follow these steps:

- Find the critical points by taking the derivative of the function and setting it equal to zero.
- Determine the intervals of increase and decrease using the first derivative test.
- Identify the points of inflection by finding the second derivative.
- Use the second derivative test to classify the critical points as relative maxima, minima, or points of inflection.

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 use the first and second derivatives to sketch #f(x)=x^2/(x^2+5)#?
- What are the points of inflection of #f(x)=1/(5x^2+3x) #?
- What is the second derivative of #f(x)= xe^(x^2)#?
- How do you find the x coordinates of all points of inflection, final all discontinuities, and find the open intervals of concavity for #y=x^4-3x^2#?
- How do you find the first and second derivative of # {ln(x)}^2#?

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