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If (f) is continuous on ([a,b]), differentiable on ((a,b)), then (\exists c \in (a,b)): [ f'(c) = \fracf(b)-f(a)b-a. ]

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Differential calculus is a branch of mathematics that deals with the study of rates of change and slopes of curves. It is a fundamental subject that has numerous applications in various fields, including physics, engineering, economics, and computer science. Vinay Kumar's Differential Calculus PDF is a comprehensive guide that provides a detailed introduction to the subject, covering its theoretical and practical aspects. If (f) is continuous on ([a,b]), differentiable on

: Solved examples are critical for learning how to identify which concept to apply. Differential calculus is a branch of mathematics that