AIEEE - Mathematics
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18
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Real - valued functions
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algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions,
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inverse functions. Graphs of simple functions.
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. Limits, continuity and differentiability. Differentiation of the sum
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difference, product and quotient of two functions.
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. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential,
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composite and implicit functions; derivatives of order upto two. Rolle’s and Lagrange’s Mean Value Theorems.
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Applications of derivatives: Rate of change of quantities, monotonic - increasing and decreasing functions, Maxima and minima of functions of one variable,tangents and normals.
