Asked by Joe
This is a very confusing problem for me
y = 5^3^x^2
Find y'
y = 5^3^x^2
Find y'
Answers
Answered by
Reiny
I read that as
y = 5<sup>3<sup>x^2</sup></sup>
take the ln of both sides
lny = ln(5<sup>3<sup>x^2</sup></sup>)
= 3x^2(ln5)
(dy/dx)/y = (6ln5)x
dy/dx = (5ln5)xy
or
(6ln5)x(5<sup>3<sup>x^2</sup></sup>)
y = 5<sup>3<sup>x^2</sup></sup>
take the ln of both sides
lny = ln(5<sup>3<sup>x^2</sup></sup>)
= 3x^2(ln5)
(dy/dx)/y = (6ln5)x
dy/dx = (5ln5)xy
or
(6ln5)x(5<sup>3<sup>x^2</sup></sup>)
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