Vinay Kumar Differential Calculus Pdf

Differentiability at a point implies continuity, but not conversely.

Based on the pedagogical approach of Vinay Kumar’s problem-solving methods vinay kumar differential calculus pdf

Example: Find maxima/minima of (f(x)=x^3-3x^2+4).
(f'(x)=3x^2-6x=3x(x-2)). Critical points: (x=0,2).
(f''(x)=6x-6). (f''(0)=-6<0 \implies) local max at (x=0), value 4.
(f''(2)=6>0 \implies) local min at (x=2), value 0. Differentiability at a point implies continuity, but not

A: Yes. The author also has a companion volume on Integral Calculus. The same search strategy applies: "Vinay Kumar Integral Calculus PDF." A: Yes