👉 In mathematics and calculus, a function \( f(x) \) is said to be differentiable at a point \( x = a \) if there exists a continuous function \( g(x) \) such that \( f'(x) = g(x) \) for all values of \( x \) in the domain of \( f \). This means that the rate of change of the function with respect to \( x \) at any point is constant. The derivative \( f'(x)
