11th Mathematics NCERT Chapter 12
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– Introduction to Calculus: This chapter introduces Calculus, which deals with the study of change in the value of a function as the points in the domain change. It includes an intuitive idea of derivatives and limits, as well as derivatives of standard functions.
– Intuitive Idea of Derivatives: Discusses the intuitive idea of derivatives using the example of a body dropped from a height and covers topics like average velocity and understanding velocity at a specific time.
– Limits of Trigonometric Functions: Covers important theorems related to functions in general, including the Sandwich Theorem, and provides a geometric proof of an inequality involving trigonometric functions【4:1†source】【4:2†source】【4:4†source】.
Find the derivative of x^2 – 2 from first principles.
Compute the derivative of sin x.
Compute the derivative of f(x) = sin^2(x).
Prove the identity: f′(0) + 3f′(−1) = 0 for f(x) = 2x^2 + 3x – 5.
Find the derivative of tan x.
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