A calculus problem by Rohith M.Athreya

Calculus Level 3

Given a function f(x)=(60073x10)110f(x)=(60073-x^{10})^{\frac{1}{10}} and f(2)=1f(a)f'(2)=\dfrac{1}{f'(a)}, where aa is a positive integer.

Find aa .


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