<p>My teacher gave us a worksheet, and no one has been able to find out the last question. It'll probably prove to be pretty easy for most of you, but our class is behind...</p>

<p>Anyway, here's a rundown of what was asked and what I have in order to answer the last question:</p>

<p>Find these derivatives:<br>

h(x)=(2x+1)^3 I got: h'(x)=6(2x+1)^2

h(x)=(x^2+5)^2 I got: h'(x)=4x(x^2+5)

h(x)=sin(2x) I got: h'(x)=2(-sinx^2+cosx^2)</p>

<p>Let each of the functions above represent a composition of f o g.</p>

<p>Define functions f and g for #1-3 above. (I dunno if I did these correctly)

1. f(x)=6x^2 g(x)=2x+1

2. f(x)=4x g(x)=x^3+5x

3. f(x)=2x g(x)=-sinx^2+cosx^2 (I think this one is wrong...)</p>

<p><strong><em>!!!Give a formula for finding h'(x) in terms of f and g.!!!</em></strong>

I don't know how to get this.</p>

<p>We are just going into the section regarding the chain rule, so we arent allowed to use the chain rule or anything beyond that. She mentioned looking at the pattern between the derivatives and the original functions in the first three questions.</p>

<p>Can anyone help?</p>