RD Sharma Solutions for Class 12 Maths Chapter 11

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Questions and Answers

What is the primary focus of RD Sharma Solutions for Class 12 Maths Chapter 11?

  • Solving equations
  • Differentiation of a given function (correct)
  • Graphing functions
  • Integration of a given function

What is the purpose of the solutions provided in RD Sharma Solutions for Class 12 Maths Chapter 11?

  • To provide a shortcut for solving problems
  • To make exams easier
  • To make students memorize the answers
  • To help students clear all their doubts (correct)

What are some of the primary topics covered in the RD Sharma Solutions of this chapter?

  • Solving linear equations
  • Differentiation of exponential functions
  • Integration of logarithmic functions
  • Differentiation of trigonometric functions (correct)

Which exercise covers differentiation using the first principle method for functions like x^2, x^3, e^x, and e^ax?

<p>Exercise 11.1 (C)</p> Signup and view all the answers

Which exercise covers differentiation of inverse trigonometric functions like sin^-1(2x^2-1) and cos^-1(2x^2-1)?

<p>Exercise 11.3 (B)</p> Signup and view all the answers

Which exercise covers differentiation of logarithmic functions like (logx)x and (logx)cosx?

<p>Exercise 11.5 (A)</p> Signup and view all the answers

Which exercise covers differentiation of exponential functions like axsinbx and a^x/x?

<p>Exercise 11.6 (C)</p> Signup and view all the answers

Which exercise covers differentiation of parametric functions like x=at^2 and y=2at?

<p>Exercise 11.7 (A)</p> Signup and view all the answers

Flashcards

Differentiation

The process of finding the rate of change of a function with respect to its input variable.

Differentiation of Trigonometric Functions

A specific type of differentiation used for trigonometric functions like sin(x), cos(x), and tan(x).

Differentiation using First Principles

A method used to find the derivative of a function from its basic definition.

Differentiation of Inverse Trigonometric Functions

Finding the derivative of functions involving inverse trigonometric functions such as arcsin(x) and arccos(x).

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Differentiation of Logarithmic Functions

Finding the derivative of functions involving logarithms, such as log(x).

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Differentiation of Exponential Functions

Finding the derivative of functions involving exponential functions, such as e^x and a^x.

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Differentiation of Parametric Functions

A technique for finding the derivative of functions defined by parameters rather than a single independent variable.

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RD Sharma Solutions for Class 12 Maths Chapter 11

A resource that offers detailed solutions to problems from the RD Sharma textbook, focusing on differentiation.

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Study Notes

RD Sharma Solutions for Class 12 Maths Chapter 11 - Differentiation

  • RD Sharma Solutions for Class 12 Maths Chapter 11 – Differentiation PDF is available for students to score good marks in exams.
  • The chapter is based on the differentiation of a given function, and RD Sharma books offer several questions for practice at the end of each chapter.
  • The solutions provided here are easily readable and created to help students clear all their doubts that they might face while answering the given problems in exercises.
  • These RD Sharma Solutions are prepared by experts in Maths at BYJU’S.
  • Some of the primary topics covered in the RD Sharma Solutions of this chapter are differentiation using the first principle method, differentiation of trigonometric functions, differentiation of logarithmic functions, differentiation of implicit functions, and differentiation of parametric functions.
  • The solutions cover a wide range of exercises, including differentiation of various functions using different methods.
  • Exercise 11.1 covers differentiation using the first principle method for functions like x^2, x^3, e^x, and e^ax.
  • Exercise 11.2 covers differentiation of trigonometric functions like sin(3x+5), tan^2(x), and sin(logx).
  • Exercise 11.3 covers differentiation of inverse trigonometric functions like sin^-1(2x^2-1) and cos^-1(2x^2-1).
  • Exercise 11.4 covers differentiation of implicit functions like xy=c^2 and x^2/3+y^2/3=a^2/3.
  • Exercise 11.5 covers differentiation of logarithmic functions like (logx)x and (logx)cosx.
  • Exercise 11.6 covers differentiation of exponential functions like axsinbx and a^x/x.
  • Exercise 11.7 covers differentiation of parametric functions like x=at^2 and y=2at.
  • Exercise 11.8 covers differentiation of functions with respect to other variables like differentiating x^2 with respect to x^3 and differentiating (cosx)sinx with respect to (sinx)cosx.

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