How do you find the critical points #f(x)= 2x^3 + 3x^2  36x + 5#?
By signing up, you agree to our Terms of Service and Privacy Policy
To find the critical points of ( f(x) = 2x^3 + 3x^2  36x + 5 ), follow these steps:
 Find the derivative of ( f(x) ), denoted as ( f'(x) ).
 Set ( f'(x) ) equal to zero and solve for ( x ).
 The values of ( x ) obtained in step 2 are the critical points of the function.
Let's go through these steps:

Find the derivative ( f'(x) ): [ f'(x) = 6x^2 + 6x  36 ]

Set ( f'(x) ) equal to zero and solve for ( x ): [ 6x^2 + 6x  36 = 0 ] [ x^2 + x  6 = 0 ]
Now, solve the quadratic equation using factoring, quadratic formula, or any other method. The solutions are the critical points.
 Once you find the solutions for ( x ), those values represent the critical points of the function.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided 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 onesided 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 onesided 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 onesided 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 use the first derivative test to determine the local extrema #36x^2 +24x^2#?
 How do you verify that #y = x^3 + x  1# over [0,2] satisfies the hypotheses of the Mean Value Theorem?
 How do you find the coordinates of relative extrema #f(x)=x^34x^2+x+6#?
 Using the principle of the meanvalue theorem on the indicated interval, how do you find all numbers c that satisfy the conclusion of the theorem #f(x)=xcosx#; [pi/2, pi/2]?
 What are extrema and saddle points of #f(x,y)=(x+y+1)^2/(x^2+y^2+1)#?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7