DIFFERENTIAL CALCULUS
ex. Differentiate f (x) = x3 − 7x + 4. How a function can fail to be differentiable. What are the types of points at which a function f is not differentiable? 1. At a corner or a cusp point. ex. f (x) = │x│, at x = 0. 2. Where there is a vertical tangent line – at a point where f is continuous but that lim f ′(x) = ∞ or −∞. x ( a ................
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