(x^3-3x^2-x+3)/(x^2+x-x) find critical numbers ,relative min/max and graph the function

Expert Solution

Colby Messinger answered 2 years ago

f(x) = −x^3 − 3x^2 + 9x + 12 A) use second derivative test to test for relative max/min

f(x) = −x^3 − 3x^2 + 9x + 12 A) use second derivative test to test for relative max/min B) Find (x,y) coordinates of point(s) of inflection C) Define the intervals of concavity

Find intervals of increase/decrease, max/min values, intervals of concavitiy. f(x)=x^3 -3x^2 +2

1) Find the exact absolute max and exact min for f(x)=x^3-3x^2-6x+4 on the closed interval [0,3]...

1) Find the exact absolute max and exact min for f(x)=x^3-3x^2-6x+4 on the closed interval [0,3] 2) Let f be continuously differentiable function on the Reals with the following characteristics: - f(x) is increasing from intervals (0,2) and (4,5) and decreasing everywhere else - f(x) > -1 on the interval (1,3) and f(x) < -1 everywhere else Suppose g(x) = 2f(x) + (f(x))^2. On which interval(s) is g(x) increasing?

Find the relative extrema, if any, classify as absolute max/min. a.) f(x)= x+1/x-2 on [2,4] b.)...

Find the relative extrema, if any, classify as absolute max/min. a.) f(x)= x+1/x-2 on [2,4] b.) f(x)= x^(2) -2x-3 on [-2,3] c.) f(x)= x^(2/3) (x^2-4) on [-1,3] Solve for x: a.) 6^(2x) =36 b.) 2^(2x) -4 * 2^(x) +4=0 c.) 3^(x-x^2) =1/9x Determine if the following statements are true or false. If it is true, explain why. If it is false, provide an example. a.) If a and b are positive numbers, then (a+b)^x=a^x+b^x b.) If x < y, then...

1. Find the critical numbers of the function f (x) = x^3− 12x in the interval...

1. Find the critical numbers of the function f (x) = x^3− 12x in the interval [0, 3]. Then find the absolute maximum and the absolute minimum of f(x) on the interval [0,3]. 2. Using only the limit definition of derivative, find the derivative of f(x) = x^2− 6x (do not use the formulas of derivatives).

For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and...

For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and...

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve

Find all x values for which the function y = x^3 + 6x^2 + 3x +...

Find all x values for which the function y = x^3 + 6x^2 + 3x + 7 has a horizontal tangent line. Find the derivative of f(x) using the definition for a limit.

In a typical optimization problem (max/min problem), we want to find a relative maximum or relative...

In a typical optimization problem (max/min problem), we want to find a relative maximum or relative minimum of a function. Our process is to • find the derivative of the function, • set that derivative equal to zero, • and solve for x. Use complete sentences to explain why this process makes sense.

Find the extreme values of the function and where they occur. y= (x+1)/(x^2+3x+3)

Question