Web25 de out. de 2016 · f (x) = xln(x) is concave up on the interval (0,∞) Explanation: To start off, we must realize that a function f (x) is concave upward when f ''(x) is positive. To find f '(x), the Product Rule must be used and the derivative of the natural logarithmic function must be known: WebConcave up on (√3, ∞) since f′′ (x) is positive. The graph is concave down when the second derivative is negative and concave up when the second derivative is positive. …
Sections 4.1 & 4.2: Using the Derivative to Analyze Functions
WebStep 3/3. Final answer. Transcribed image text: f (x) = 4x4 − 4x3 −1 a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is … WebTo find the interval of on which the function is concave down and concave up, first, we need to find the second derivative of the function using the power rule. Recall the rules below: if f"(x) is positive, then f is concave up. if f"(x) is negative, then f is concave down Solving the second derivative of the function f'(x) fitting gaslow refillable cylinders
Find the intervals where f is concave upwards and downwards, …
WebMath Calculus Let f (x) = -x4-9x³+2x+8. Find the open intervals on which is concave up (down). Then determine the -coordinates of all inflection points of 1. 2. 3. is concave up … Web7 de set. de 2015 · How do you determine whether the function f (x) = ln(x2 + 7) is concave up or concave down and its intervals? Calculus Graphing with the Second Derivative Analyzing Concavity of a Function 1 Answer Trevor Ryan. · Jim H · Stefan V. Sep 7, 2015 Concave down over ( − ∞; − √7) ∪(√7; ∞) Concave up over ( −√7;√7) Explanation: WebQuestion: f(x)=(x^4/4)−3x^3−2 a) Determine the intervals on which ff is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to … fitting gas cooker installation