<p>you math geniuses help me out here,
im stuck on this problem.</p>
<p>Let f(x)=1+1/(x^4+1)</p>
<p>Let A(z) be the area of the region bounded by the graph of f, the x-axis, and the line x=z. Write an integral for A(z).
Compute dA/dz at z=2</p>
<p>it would be great if you smart people could help me out</p>
<p>if i had LaTeX on this cheap ass site id crank it up for you, but here is what I can do:</p>
<h1>1. do you have the left bound of x=0? if so then we would say A(z) = integral from 0 to z of 1+1/(x^4 +1) dx. you see? but you didnt give me a left bound. this is a pretty basic problem so im sure you meant the function bounded by the x-axis, the Y-AXIS, and x=z.</h1>
<h1>2. since our area function is in integral form, the derivative will give you the original function except in terms of "z" because thats what we did the differential of. so yeah just plug x=z and z=2 into the original equation.</h1>