How do you find the critical numbers of #9x^3 - 25x^2#?
By signing up, you agree to our Terms of Service and Privacy Policy
To find the critical numbers of (9x^3 - 25x^2), first, you need to find the derivative of the function and then solve for (x) when the derivative equals zero.
-
Find the derivative of the function: [f'(x) = 27x^2 - 50x]
-
Set the derivative equal to zero and solve for (x): [27x^2 - 50x = 0] Factor out (x): [x(27x - 50) = 0]
-
Set each factor equal to zero and solve for (x): [x = 0] [27x - 50 = 0] Solving for (x): [27x = 50] [x = \frac{50}{27}]
So, the critical numbers of (9x^3 - 25x^2) are (x = 0) and (x = \frac{50}{27}).
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.
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 determine where the function is increasing or decreasing, and determine where relative maxima and minima occur for #y=x^4-2x^3#?
- How do use the first derivative test to determine the local extrema #x^2/(3(8-x))#?
- Is #f(x)=cos^2x+sin2x# increasing or decreasing at #x=pi/6#?
- How do you find the critical numbers of #9x^3 - 25x^2#?
- Is #f(x)=1/x-1/x^3+1/x^5# increasing or decreasing at #x=-1#?

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