What are the critical values of #f(x)=3x^2+2x+5#?
By signing up, you agree to our Terms of Service and Privacy Policy
To find the critical values of ( f(x) = 3x^2 + 2x + 5 ), we need to find the values of ( x ) where the derivative of ( f(x) ) is equal to zero or undefined.
- Find the derivative of ( f(x) ) with respect to ( x ):
[ f'(x) = 6x + 2 ]
- Set ( f'(x) ) equal to zero and solve for ( x ):
[ 6x + 2 = 0 ] [ 6x = -2 ] [ x = -\frac{2}{6} ] [ x = -\frac{1}{3} ]
- ( f'(x) ) is defined for all real numbers, so there are no critical values arising from points where the derivative is undefined.
Therefore, the only critical value of ( f(x) = 3x^2 + 2x + 5 ) is ( x = -\frac{1}{3} ).
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.
- What are the critical values, if any, of #f(x)=x^(4/5) (x − 3)^2#?
- How do you find the critical points and the open intervals where the function is increasing and decreasing for #y = xe^(x(2 - 3x))#?
- What are the global and local extrema of #f(x)=x^3-x^2-x+1# ?
- How do use the first derivative test to determine the local extrema #f(x)=x-2tan(x)#?
- How do you determine all values of c that satisfy the mean value theorem on the interval [2,5] for #f(x) = 1 / (x-1)#?

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