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Differentiation

JEE Main 2023 (Online) 1st February Morning Shift

INTEGER+4 / -12023

If \(f(x)=x^{2}+g^{\prime}(1) x+g^{\prime \prime}(2)\) and \(g(x)=f(1) x^{2}+x f^{\prime}(x)+f^{\prime \prime}(x)\), then the value of \(f(4)-g(4)\) is equal to ____________.

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