NCERT Solutions For Class 11 Maths Chapter 13: Limits and Derivatives

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NCERT Solutions for class 11 Maths Chapter 13 Limits and Derivatives are provided in the article. A limit is defined as a value that a function approaches as the input, and it produces some value. A derivative refers to the instantaneous rate of change of a quantity with respect to the other. NCERT Solutions for class 11 Maths Chapter 13 cover following important concepts:

Download: NCERT Solutions for Class 11 Mathematics Chapter 13 pdf

Class 11 Maths NCERT Solutions Chapter 13 Limits and Derivatives

Class 11 Maths NCERT Solutions Chapter 9 Limits and Derivatives are provided below:

Also read: Important Questions Limits and Derivatives

Important Topics for Class 11 Maths NCERT Solutions Chapter 13 Limits and Derivatives

Important Topics for Class 11 Maths NCERT Solutions Chapter 13 Limits and Derivatives are elaborated below:

Limits

Limits are values that a function (or sequence) approaches as the input (or index) approaches some value. Limits are important in calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.

Derivatives

Derivative, in mathematics, is the rate of change of a function with respect to a variable. Derivatives are the basic solutions of problems in calculus and differential equations.

List of Limits and Derivatives Class 11 Formulas

d/dx [f(x) + g (x)] = d/dx [f(x)] + d/dx [g(x)]
d/dx [f(x) - g (x)] = d/dx [f(x)] - d/dx [g(x)]
d/dx [f(x) * g (x)] = d/dx [f(x)]*[g(x)] + [f(x)]*d/dx [g(x)]
d/dx [f(x) / g (x)] = {d/dx [f(x)]*[g(x)] - [f(x)]*d/dx [g(x)]} / g(x)²
lim_x → a(xⁿ - aⁿ) / x - a = na^n-1
lim_^x → a sinx / x = 1
limx → a¹ - cosx / x = 0
f ´( x ) = d f(x)/dx = lim_h → 0 [ f(x+h) - f(x) / h]

NCERT Solutions For Class 11 Maths Chapter 13 Exercises:

The detailed solutions for all the NCERT Solutions for Chapter 13 Limits and Derivatives under different exercises are as follows:

Also Check:

Chapter Related Topics
Derivative of Inverse Trigonometric Function	Value of Log Infinity	Ln and Log

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Maths Important Formulas	Maths MCQs	Comparison Articles in Maths
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CBSE CLASS XII Related Questions

1.
Evaluate:
\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]
View Solution
2.
Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]
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3.
Find:

If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).
- \(0\)
- \(-2\)
- \(-1\)
- \(2\)
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4.
Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).
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5.
Find:

The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:
- \(-\frac{\pi}{2}\)
- \(-\frac{\pi}{4}\)
- \(\frac{\pi}{4}\)
- \(\frac{\pi}{2}\)
View Solution
6.
Find:
Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).
- \(\begin{bmatrix} \frac{1}{3} & 3 \\ 0 & \frac{4}{3} \end{bmatrix}\)
- \(\begin{bmatrix} \frac{1}{3} & 0 \\ 3 & \frac{4}{3} \end{bmatrix}\)
- \(\begin{bmatrix} \frac{4}{3} & 3 \\ 1 & 0 \end{bmatrix}\)
- \(\begin{bmatrix} \frac{4}{3} & 0 1 & \frac{3}{3} \end{bmatrix}\)
View Solution