# Calculus (Weightage 1%)   Share

### Topics from Calculus

• Graphs of simple functions, limits, continuty and differentiability. (56 concepts)
• Differentiation of the sum, difference, product and quotient of two functions (16 concepts)
• Differentiation of trigonometric, inverse trigonometric, logarithmic exponential, composite and implicit functions (16 concepts)
• Derivatives of order upto two (1 concepts)
• Rolle's and Lagrange's Mean Value theorems (5 concepts)
• Monotonic- increasing and decreasing functions (8 concepts)
• Apllications of derivatives monotonic, maxima and minima of functions of one variable, tangents and normals (34 concepts)
• Integral as an anti-derivative, fundamental integrals algebraic, trigonometric, exponential and logarithmic functions (37 concepts)
• Integration by substituion using trigonometric identities (14 concepts)
• Integral as limit of a sum, fundamental theorem of calculus (4 concepts)
• Properties of definite integrals, evaluation of definite integrals (21 concepts)
• Determining areas of the regions bounded by simple curves in standard form (9 concepts)
• Ordinary differential equations, their order and degree (8 concepts)
• Formation of differential equations (2 concepts)
• Solution of differential equations by the method of separation of variables (12 concepts)
• Solution of homogeneous and linear differential equations (26 concepts)
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