<p>Ok so tomorrow is the last day of finals, and i need help with one problem out of my textbook. I know there is a post saying no homework help but this isnt homework and i just need an idea on how to apporach the problem, since ive spent so much time on it for no reason............</p>
<p>I need to differentiate sin(x)^(sin(sin(x))</p>
<p>thanks</p>
<p>how would you differentiate a^x (wrt x)? x^a? how about f(x)^x?</p>
<p>It's just the chain rule. Start with the base sin(x) and differentiate that, then differentiate the outer sin(x) of the exponent and then the inner sin(x) of the exponent.</p>
<p>I think you have to take the natural log of both sides of the equation...</p>
<p>y = sin(x)^(sin(sin(x))
ln y = (sin(sin(x)) ln sin(x)</p>
<p>Then, you differentiate using the chain rule and product rule.</p>
<p>^i got it now thanks so much!</p>
<p>Hm, your school ends pretty late.</p>
<p>Gl with finals.</p>