Find the derivative

Calculus Level 3

f(x)=x(x1)(x2)(x9)(x10)f(x)=x(x-1)(x-2)\cdots (x-9)(x-10)

Given that f(4)=2a3b5cf'(4)=2^a3^b5^c for integers a,ba,b and cc, find the value of a+b+ca+b+c.

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