Suppose the function f(x) has a critical point at x = 5 We are given the second derivative of the function f"(x) = 24x Does the graph concave up or concave down at the critical point? A 96. Based on the concavity is there a local maximum or local minimum at the critical AV point? 4

Q: 03 * The following is a graph of f'(x). At which value of a does f(x) have a maximum? y=f(x) -2 -4…

A:

Q: LA3] Given the function f(x) = 2x5 – 5x*, use the second derivative test with an interval table to…

A: Check sign of second derivative for concave up or down.

Q: у ि 0 2 y = f'(x) 4 6 x

A: Solution

Q: Function Point 53. y = x4 – 3x² + 2 (1, 0) 54. y = x³ + x (-1, – 2)

A: Solution Giveny=x4-3x2+2        (1,0)y=x3+x                  (-1,-2) We need to find the equation of…

Q: determine from its graph if the function is one-to one.

A: fx=1-x2,x≤0xx+2,x>0

Q: 24. f(x) is a function such that f*(x) > 0 for x =0 and f"(0) is undefined. Sketch 2 different…

A: If f′′(x)>0 for x≠0, it means that the second derivative of f(x) is positive everywhere except at…

Q: Determine the first and second derivative of the function fx) = 3xe"

A: 20). In this question given that f(x) and find first and second derivative . Here i provide full…

Q: (9) Below is the graph of y = f (z). Sketch a rough graph of y = " (x). You can do it either on the…

A:

Q: Find all critical points of f(1) = 2√- a where a is a nonzero real number. Express your answer in…

A: Using derivatives, we can find the critical point of f(x)

Q: The graph below is the graph of the First Derivative of f(x)... that is it is the graph of f '(*).…

A:

Q: 3. Suppose that f(x) = 2000r.02.³+6²-2216.1920. Find all local and global maxima and minima of this…

A:

Q: Find the derivative of the following function by first expanding the expression. f(x) = (2x + 7)…

A: Given that the function