WebMath; Calculus; Calculus questions and answers; find the intervals where the function f(x)= x^3-3x+1 is increasing and where it is decreasing; Question: find the intervals where the function f(x)= x^3-3x+1 is increasing and where it is decreasing WebFind the intervals where f ( x) = x2e−x is increasing and where it is decreasing. Step-by-step solution Step 1 of 4 Consider, First compute, From which see that is continuous everywhere except at and has zeros at . These values of x partition the domain of f into the intervals and . Chapter 6.R, Problem 54RE is solved. View this answer
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WebIf f (x) < 0, then the function is decreasing in that particular interval. Example 1 : Find the intervals in which f (x) = 2x³+x²-20x is increasing or decreasing Solution : f (x) = 2x 3 + x 2 - 20x Step 1 : f' (x) = 6x² + 2x - 20 ÷ by 2 ⇒ 3x²+x-10 Step 2 : f' (x) = 0 3x 2 +x-10 = 0 (3x - 5) (x + 2) = 0 Step 3 : WebExpert Answer. Transcribed image text: !!! (1 point) For the function f (x) = x - 27x+7, find all intervals where the function is increasing: f is increasing on (Give your answer as an interval or a list of intervals, e.g., (-infinity, 8] or (1,5). (7,10)) Similarly, find all intervals where the function is decreasing: f is decreasing on (Give ... brown velvet ice cream
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WebQuestion: Q4--Let f (x)=15−9x^2+3x^3 Input the interval (s) on which f is increasing. Input the interval (s) on which f is decreasing. Find the point (s) at which f achieves a local maximum. Find the point (s) at which f achieves a local minimum. Find the intervals on which f is concave up. Find the intervals on which f is concave down. WebDec 28, 2015 · f (x) is decreasing for all values of x where f' (x) < 0 By the quotient rule, f' (x) = [ (x 2 +x-2) (1)-x (2x+1)]/ (x 2 +x-2) 2 = (-x 2 -2)/ (x 2 +x-2) 2 = - (x 2 +2)/ (x 2 +x-2) 2 < 0 for all x ≠ -2, 1 f (x) is decreasing … WebIncreasing & decreasing intervals. Let h (x)=x^4-2x^3 h(x) = x4 − 2x3. On which intervals is h h increasing? evicting a disabled person in massachusetts