# How do you find the average or mean slope of the function #f(x)=3x^3–2x# on the interval [–4, 4]?

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

To find the average or mean slope of the function (f(x) = 3x^3 - 2x) on the interval ([-4, 4]), you can use the formula:

[ \text{Average slope} = \frac{f(b) - f(a)}{b - a} ]

Where (a) and (b) are the endpoints of the interval. In this case, (a = -4) and (b = 4). Plug these values into the formula and calculate (f(b)) and (f(a)), then find the difference and divide by (b - a).

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 f '(x) using the definition of a derivative for #(x^2+1) / (x-2)#?
- How do you find the slope and equation of the tangent line to the curve #y=9-2x^2# at the point (2,1)?
- How do you find the average rate of change of #f(x) = 17-x^2# over the interval [1, 5]?
- How do you find the equation of a tangent line to a curve?
- How do you find the equation of the tangent line to the curve at the given point. #y=5x−2sqrtx#, #(1,3)#?.

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