Which are the important topics for Calculus in NDA?

<p>In the NDA (National Defence Academy) exam, Calculus is a significant component of the Mathematics syllabus. Focus on essential calculus topics to excel in this section. Key concepts include <strong>limits, continuity, and differentiability. </strong>Understanding derivatives, especially their applications in rates of change and optimization, is crucial. Integration and its applications in finding areas under curves and volumes of revolution are vital topics. Additionally, grasp the fundamentals of differential equations, as questions related to them are common. Emphasize practicing problems that involve a combination of different calculus concepts to enhance your problem-solving skills. A strong command over these calculus topics will contribute substantially to your performance in the NDA mathematics section.</p>

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The calculus chapter of NDA comprises topics such as Concept of a real valued function, domain, range and graph of a function. Composite functions, one to one, onto and inverse functions. Notion of limit, Standard limits, Continuity of functions, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivative-application. Derivatives of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function. Second order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minimal.

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