The first derivative, f'(x), of a polynomial function f(x) is given below. Use this derivative to complete all parts of this question. If a quantity or interval does not exist, write "NONE" f'(x) = (x - 2)^5(× + 3)^4 (a) Find the critical numbers of f. (b) For each critical number of f, state whether f has a local maximum, local minimum, or neither a maximum nor minimum at the critical number

Q: Show that f(x) = 2/x2 + 3x4 – 5x6 is an even function

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Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: Show that the function f(x) = 2(x^3)-4(x^2)+5x-4 has a zero between x = 1 and x = 2.

A: Please refer to the image below

Q: Find the zero(s) (if any) of the function - y=x^2-1x-12 The zero(s) is/are x=

A: To find the zeroes of the given function

Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: Consider the following function: f(x)=x^3+2x^2-8x-3 b. Find the extreme values ​​of f.

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Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

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Q: Find the domain of the function (x) = 1/∣x + 3∣

A: The given function is fx=1x+3. To find the domain of function. Solution: The given function is…

Q: The following limit represents the derivative of a functionf at a point a. 5 tan 6. V3 f '(a) = =…

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Q: where is the function (5+x) / (x(x-2)) discontinuous?

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Q: e equation below: f(x)=x^4-32x^2+3. Find the interval on which f is increasing and decreasing, find…

A: Here we have;  f(x)=x4-32x2+3 ............(1) differentiate with respect to x f'(x)=ddxx4-32x2+3