Free NCERT Solutions for Class 11 Maths Chapter 12 Limits and Derivatives Exercise 12.1. Clear answers, accurate steps, CBSE 2025-26. Download free PDF for exam practice.
In 1950, John Nash sent a remarkable letter to the National Security Agency, in which—seeking to build theoretical foundations for cryptography—he all but formulated what today we call the\mathsf{P}\mathop{ =}\limits^{?}\mathsf{NP}problem, and consider one of the great open problems of ...
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Section 2 shows how to use the AD rules and the TSM to evaluate special functions, Section 3 shows the use of the TSM for high-precision integration of ODEs. Section 4 shows how to compute directly the partial derivatives of the solution of an ODE system and some physical applications. ...