WebTranscribed Image Text: Let g(x) = (t) dt, where f is the function whose graph is shown. y f 20 (a) Evaluate g(0), g(4), g(8), g(12), and g(24). g(0) = 0 g(4) = 2 9(8) = 4 g(12) = 9 9(24) = 36 (b) On what interval is g increasing? (Enter your answer using interval notation.) (c) Where does g have a maximum value? x x x x < WebProcedure to find where the function is increasing or decreasing : Find the first derivative. Then set f' (x) = 0. Put solutions on the number line. Separate the intervals. Choose random value from the interval and check them in the first derivative. If f (x) > 0, then the function is increasing in that particular interval.
Increasing and Decreasing Intervals - Definition, Formulas, Examples
WebSubstitute a value from the interval (2,∞) ( 2, ∞) into the derivative to determine if the function is increasing or decreasing. Tap for more steps... Increasing on (2,∞) ( 2, ∞) … Web17 de jan. de 2024 · Learn how to sketch the graphs of f, f', f'', given any one of its graph. Given a function y = f(x), the derivative of the function y' = f'(x) represents the... top rated tow rope
Finding decreasing interval given the function - Khan Academy
WebExample: f(x) = x 3 −4x, for x in the interval [−1,2]. Let us plot it, including the interval [−1,2]: Starting from −1 (the beginning of the interval [−1,2]):. at x = −1 the function is decreasing, it continues to decrease until about 1.2; it then increases from there, past x = 2 Without exact analysis we cannot pinpoint where the curve turns from decreasing to … Web21 de ago. de 2016 · When g' (x)=0, x is a critical number (c.n.) A c.n. is where the graph could have min/max (turning point where the graph change from decrease to increase or vice versa) but it does not guarantee that it will have a min/max. That's why we have to do … WebPosted 4 months ago. View Answer . Q: Let G (X) = 647 F (T) Dt, Where F Is The Function Whose Graph Is Shown. Y F 5 T 25 (A) Evaluate G (0), G (5), G (10), G (15), And G (30). G (0) = 0 G (5) = 50 G (10) = 125 G (15) = 225 G (30) = 125 (B) On What Interval Is G Increasing? (Enter Your Answer Using... top rated touch screen frame