A calculus problem by Shivam Jadhav

Calculus Level pending

Suppose \(f: \mathbb {R \to R}\) is a function given by: \[f(x)=\begin{cases} 1 & { x=1} \\ e^{x^{10}-1}+(x-1)^{2}\sin \left(\dfrac{1}{x-1}\right), & {x \ne 1 } \end{cases}\] Find \(f'(1)\)

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