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Calculus, Single Variable: Early Transcendentals (3rd Edition)
- 11. given f(x)=x3-4x2+5x-2 a.) State the y-intercept b.) Use the first derivative test, find all critical values, state the intervals where f(x) is increasing and any local maximum or minimum values for x. Show all work. c.) Use the second derivative test, find all critical values, find the intervals where f(x) is concave up or concave down, and state the x-coordinate for the inflection point if it exists. Show all work. Â Thank you!!arrow_forwardFor the function f(x) =x*root3(x-1) determine:1)The critical values.2)The critical points.3)The interval of increasing and decreasing of f. 4-The inflection values. 5-The interval of concave down and concave up of f.arrow_forwardTRUE OR FALSE?: If the function f(x) is continuous and has a local extreme at x=2, than f^1(2) = 0 Â True or false?arrow_forward
- Find the absolute extrema of the function on the interval [2, 10]. (Round your answers to the nearest hundredth.g(x) = g(x)= x/ln(x) Absolute Minimum: ____ at x= 2.72 Absolute Maximum ____ at x= ____arrow_forwardFind the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a single category list the points in increasing order in x value and enter N in any blank that you don't need to use. f(x)=9x^3−54x^2+81x+18 [−1,4] Absolute Max x:__ y:__ x:__ y:__ x:__ y:__ Absoulte Min: x:__ y:__ x:__ y:__ x:__ y:__arrow_forwardf(x)=(x+6)/x^2 find critical numbers? find open intervals on which the function is increasing or decreasing in interval notation? apply the first derivative test to indentify all relative extrema?arrow_forward
- Consider the function f(x)=2x+18/x over the interval 0<x<∞. Find the absolute extreme values of the function on this interval.This function has an absolute    Correct value equal to    at xarrow_forwardTwo functions f(x) and g(x), are continuous and differentiable for all real numbers. Some values of the functions and their deravativee are given in the table above. Based on the table, what is the value of h'(2) if h(x) = f(g(x))?arrow_forwardFind all critical points where the second derivative equals zero or does not exist for the functions below.Label the intervals of increase and decrease based on the first derivative and intervals of concavity based on the second derivative. Deterime your local extrema and you inflection points, and list both coordinates of each. 1. f(x)=4/(x2+4)arrow_forward
- 5) a function with a domain of (-2, infinity): Consider: Is the function continuous at x=1? If not, what type of discontinuity does the function have at x=1?arrow_forwardFind the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a single category list the points in increasing order in x value and enter N in any blank that you don't need to use. f(x)=10x−30ln(x) [1,4] Absolute maxima x =   y = x =   y = x =   y = Absolute minima x =   y = x =   y = x =   y =arrow_forwardEvaluate the price wise function at the given value of the indépendant variable. Evaluate at f(4). f(x)=6x-1 if x<0      7x+3 if x was greater than or equal to 0arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage