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OpenStudy (anonymous):
f(x)=In[(x+1)(x+2)], then \[f \prime(x)\]
OpenStudy (anonymous):
=
OpenStudy (schrodingers_cat):
Multiply out brackets then use the chain rule.
OpenStudy (schrodingers_cat):
Let u = x^2 +3x +2
then dy/dx = ln[u] 1/u
so you then have
d/dx(x^2 +3x +2)/(x^2 +3x +2)
= (2x +3)/(x^2 +3x +2)
Does this make sense?
OpenStudy (anonymous):
kind of
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OpenStudy (schrodingers_cat):
Your just using the chain rule, so essentially your starting with with the outer most function and working way in to the innermost function.
OpenStudy (anonymous):
ok
OpenStudy (schrodingers_cat):
Also when I took the first derivative there was a typo is should be dy/du of ln[u] = 1/u.
OpenStudy (schrodingers_cat):
I hope this helps you out :)
OpenStudy (schrodingers_cat):
Remember with the chain rule you start with the derivative of the outermost function and then work your way inward in a sense, multiplying the next derivative by the derivatives of the preceding function.
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