Vinay Kumar Differential Calculus Pdf Extra Quality Instant

For (f,g) continuous on ([a,b]), differentiable on ((a,b)), with (g'(x)\neq 0), (\exists c \in (a,b)): [ \fracf(b)-f(a)g(b)-g(a) = \fracf'(c)g'(c). ]

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: Chain rule, implicit differentiation, and higher-order derivatives. For (f,g) continuous on ([a,b]), differentiable on ((a,b)),