2. Let f be the function shown below, with domain the closed interval [0, 6]. The graph of

f is shown below, composed of two semicircles. Let h(x) = ∫ f (t)dt from x=0 to x=(2x-1).

( I don't think the image will load... it is a semicircle above the x-axis with r=2 and center (2,0) connected to a semicircle below the x-axis with r=1 and center (5,0).)

A. Determine the domain of h(x). For this, I solved 1/2

Question

2. Let f be the function shown below, with domain the closed interval [0, 6]. The graph of

f is shown below, composed of two semicircles. Let h(x) = ∫ f (t)dt from x=0 to x=(2x-1).

( I don't think the image will load... it is a semicircle above the x-axis with r=2 and center (2,0) connected to a semicircle below the x-axis with r=1 and center (5,0).)

A. Determine the domain of h(x). For this, I solved 1/2<=x<=7/2

B. Find h′(5/2) ... this is where I am lost, I don't know how to find the derivative of this unknown function.

C. At what x is h(x) a maximum? Show all the analysis tha

michele_laino · Answer

is your function like this:
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