- #1
ab94
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Homework Statement
Find dy/dx of this:
Assume p>0, y=(p^(x^p))(x^p)
Homework Equations
1. d/dx f(x)g(x)h(x) = f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)
The Attempt at a Solution
ln(y)= p(ln(p^x))x^p
1/y y'=p'(ln(p^x))x^p + p(logp)x^p + p(ln(p^x))px^(p-1) --use "revlevent" equation
1/y y'= 0 + plogp(x^p) + p(ln(p^x))px^(p-1) -- simplify derivatives
y'= y(plogp(x^p) + p(ln(p^x))px^(p-1)) -- multiply both sides by y
y'= (p^(x^p))(x^p)(plogp(x^p) + p(ln(p^x))px^(p-1)) -- sub in y from beginning
Can someone point out where my error is, and how to fix it?
Thanks