What is the maximum and minimum value of f(x)?

The function f (x) is maximum when f” (x) < 0 The function f (x) is minimum when f” (x) > 0 To find the maximum and minimum value we need to apply those x values in the original function.

How to find the maximum and minimum value of a derivative?

Apply those critical numbers in the second derivative. To find the maximum and minimum value we need to apply those x values in the original function. To find the maximum value, we have to apply x = 2 in the original function. Therefore the maximum value is 7 at x = 2. Now let us check this in the graph.

How to find the maximum and minimum of a quadratic function?

The maximum or minimum of a quadratic function occurs at x = − b 2a x = – b 2 a. If a a is negative, the maximum value of the function is f (− b 2a) f ( – b 2 a). If a a is positive, the minimum value of the function is f (− b 2a) f ( – b 2 a).

How do you find the maximum and minimum value of parabola?

To find the maximum and minimum value we need to apply those x values in the original function. To find the maximum value, we have to apply x = 2 in the original function. Therefore the maximum value is 7 at x = 2. Now let us check this in the graph. The given function is the equation of parabola.

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The maximum will occur at the highest f (x) f ( x) value and the minimum will occur at the lowest f (x) f ( x) value.

Which function attains its maximum value at x=1?

It is given that at x=1, the function x 4−62x 2+ax+9 attains its maximum value, on the interval [0,2]. Find the value of a. f attains its maximum value on the interval [0,2] at x=1. Was this answer helpful?

What is the final solution to x(x – 2) = 0 true?

The final solution is all the values that make x ( x − 2) = 0 x ( x – 2) = 0 true. Use the endpoints and all critical points on the interval to test for any absolute extrema over the given interval. Evaluate the function at x = 0 x = 0. Simplify the right side. Tap for more steps… Simplify each term. Tap for more steps…

How to find the local maximum and minimum values of the function?

To find the local maximum and minimum values of the function, set the derivative equal to 0 0 and solve. Factor by grouping. Tap for more steps… For a polynomial of the form a x 2 + b x + c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a ⋅ c = 3 ⋅ 21 = 63 a ⋅ c = 3 ⋅ 21 = 63 and whose sum is b = − 16 b = – 16.